Finding the Third Proportional to 63,438 and 89,109

Step by Step Solution

1. Step 1: Write the proportion equation
   63,438 : 89,109 = 89,109 : x
2. Step 2: Convert to fraction form
   63,438/89,109 = 89,109/x
3. Step 3: Cross multiply
   63,438x = 89,109 × 89,109
4. Step 4: Simplify right side
   63,438x = 7,940,413,881
5. Step 5: Solve for x
   x = 7,940,413,881/63,438
6. Step 6: Final answer
   x = 125,168.10