Finding the Third Proportional to 267,101 and 413,025.50

Step by Step Solution

1. Step 1: Write the proportion equation
   267,101 : 413,025.50 = 413,025.50 : x
2. Step 2: Convert to fraction form
   267,101/413,025.50 = 413,025.50/x
3. Step 3: Cross multiply
   267,101x = 413,025.50 × 413,025.50
4. Step 4: Simplify right side
   267,101x = 170,590,063,650.25
5. Step 5: Solve for x
   x = 170,590,063,650.25/267,101
6. Step 6: Final answer
   x = 638,672.50