Finding the Third Proportional to 57,564 and 124,198.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,564 : 124,198.50 = 124,198.50 : x
2. Step 2: Convert to fraction form
   57,564/124,198.50 = 124,198.50/x
3. Step 3: Cross multiply
   57,564x = 124,198.50 × 124,198.50
4. Step 4: Simplify right side
   57,564x = 15,425,267,402.25
5. Step 5: Solve for x
   x = 15,425,267,402.25/57,564
6. Step 6: Final answer
   x = 267,967.26