Finding the Third Proportional to 76,472 and 166,767.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,472 : 166,767.50 = 166,767.50 : x
2. Step 2: Convert to fraction form
   76,472/166,767.50 = 166,767.50/x
3. Step 3: Cross multiply
   76,472x = 166,767.50 × 166,767.50
4. Step 4: Simplify right side
   76,472x = 27,811,399,056.25
5. Step 5: Solve for x
   x = 27,811,399,056.25/76,472
6. Step 6: Final answer
   x = 363,680.81