Finding the Third Proportional to 564,906 and 790,132.50

Step by Step Solution

1. Step 1: Write the proportion equation
   564,906 : 790,132.50 = 790,132.50 : x
2. Step 2: Convert to fraction form
   564,906/790,132.50 = 790,132.50/x
3. Step 3: Cross multiply
   564,906x = 790,132.50 × 790,132.50
4. Step 4: Simplify right side
   564,906x = 624,309,367,556.25
5. Step 5: Solve for x
   x = 624,309,367,556.25/564,906
6. Step 6: Final answer
   x = 1,105,156.20