Finding the Third Proportional to 502,022.50 and 764,801

Step by Step Solution

1. Step 1: Write the proportion equation
   502,022.50 : 764,801 = 764,801 : x
2. Step 2: Convert to fraction form
   502,022.50/764,801 = 764,801/x
3. Step 3: Cross multiply
   502,022.50x = 764,801 × 764,801
4. Step 4: Simplify right side
   502,022.50x = 584,920,569,601
5. Step 5: Solve for x
   x = 584,920,569,601/502,022.50
6. Step 6: Final answer
   x = 1,165,128.20