Finding the Third Proportional to 502,019 and 764,793.50

Step by Step Solution

1. Step 1: Write the proportion equation
   502,019 : 764,793.50 = 764,793.50 : x
2. Step 2: Convert to fraction form
   502,019/764,793.50 = 764,793.50/x
3. Step 3: Cross multiply
   502,019x = 764,793.50 × 764,793.50
4. Step 4: Simplify right side
   502,019x = 584,909,097,642.25
5. Step 5: Solve for x
   x = 584,909,097,642.25/502,019
6. Step 6: Final answer
   x = 1,165,113.47