Finding the Third Proportional to 63,537 and 89,256

Step by Step Solution

1. Step 1: Write the proportion equation
   63,537 : 89,256 = 89,256 : x
2. Step 2: Convert to fraction form
   63,537/89,256 = 89,256/x
3. Step 3: Cross multiply
   63,537x = 89,256 × 89,256
4. Step 4: Simplify right side
   63,537x = 7,966,633,536
5. Step 5: Solve for x
   x = 7,966,633,536/63,537
6. Step 6: Final answer
   x = 125,385.74