To calculate the total points earned by Charles de Vendeville in the underwater swimming event, we use the given scoring method:
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Points for time underwater: He stayed underwater for 68.4 seconds, earning 1 point per second: \[ \text{Points for time} = 68.4 \text{ seconds} \times 1 \text{ point/second} = 68.4 \text{ points} \]
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Points for distance traveled: He traveled 60.2 meters, earning 2 points per meter: \[ \text{Points for distance} = 60.2 \text{ meters} \times 2 \text{ points/meter} = 120.4 \text{ points} \]
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Total points: Now, we add the points earned for time and distance: \[ \text{Total points} = 68.4 \text{ points} + 120.4 \text{ points} = 188.8 \text{ points} \]
Thus, Charles de Vendeville earned a total of 188.8 points.
The answer is: 188.8 points.