Finding the Third Proportional to 262,359 and 405,121.50

Step by Step Solution

1. Step 1: Write the proportion equation
   262,359 : 405,121.50 = 405,121.50 : x
2. Step 2: Convert to fraction form
   262,359/405,121.50 = 405,121.50/x
3. Step 3: Cross multiply
   262,359x = 405,121.50 × 405,121.50
4. Step 4: Simplify right side
   262,359x = 164,123,429,762.25
5. Step 5: Solve for x
   x = 164,123,429,762.25/262,359
6. Step 6: Final answer
   x = 625,568.13