Finding the Third Proportional to 502,016 and 764,785.50

Step by Step Solution

1. Step 1: Write the proportion equation
   502,016 : 764,785.50 = 764,785.50 : x
2. Step 2: Convert to fraction form
   502,016/764,785.50 = 764,785.50/x
3. Step 3: Cross multiply
   502,016x = 764,785.50 × 764,785.50
4. Step 4: Simplify right side
   502,016x = 584,896,861,010.25
5. Step 5: Solve for x
   x = 584,896,861,010.25/502,016
6. Step 6: Final answer
   x = 1,165,096.05