Finding the Third Proportional to 502,019.50 and 764,796.75

Step by Step Solution

1. Step 1: Write the proportion equation
   502,019.50 : 764,796.75 = 764,796.75 : x
2. Step 2: Convert to fraction form
   502,019.50/764,796.75 = 764,796.75/x
3. Step 3: Cross multiply
   502,019.50x = 764,796.75 × 764,796.75
4. Step 4: Simplify right side
   502,019.50x = 584,914,068,810.56
5. Step 5: Solve for x
   x = 584,914,068,810.56/502,019.50
6. Step 6: Final answer
   x = 1,165,122.21