Finding the Third Proportional to 262,002.50 and 561,354.50

Step by Step Solution

1. Step 1: Write the proportion equation
   262,002.50 : 561,354.50 = 561,354.50 : x
2. Step 2: Convert to fraction form
   262,002.50/561,354.50 = 561,354.50/x
3. Step 3: Cross multiply
   262,002.50x = 561,354.50 × 561,354.50
4. Step 4: Simplify right side
   262,002.50x = 315,118,874,670.25
5. Step 5: Solve for x
   x = 315,118,874,670.25/262,002.50
6. Step 6: Final answer
   x = 1,202,732.32