Finding the Third Proportional to 262,582.50 and 385,605

Step by Step Solution

1. Step 1: Write the proportion equation
   262,582.50 : 385,605 = 385,605 : x
2. Step 2: Convert to fraction form
   262,582.50/385,605 = 385,605/x
3. Step 3: Cross multiply
   262,582.50x = 385,605 × 385,605
4. Step 4: Simplify right side
   262,582.50x = 148,691,216,025
5. Step 5: Solve for x
   x = 148,691,216,025/262,582.50
6. Step 6: Final answer
   x = 566,264.76