Finding the Third Proportional to 502,089.50 and 764,895

Step by Step Solution

1. Step 1: Write the proportion equation
   502,089.50 : 764,895 = 764,895 : x
2. Step 2: Convert to fraction form
   502,089.50/764,895 = 764,895/x
3. Step 3: Cross multiply
   502,089.50x = 764,895 × 764,895
4. Step 4: Simplify right side
   502,089.50x = 585,064,361,025
5. Step 5: Solve for x
   x = 585,064,361,025/502,089.50
6. Step 6: Final answer
   x = 1,165,259.10