Finding the Third Proportional to 81,468 and 109,626

Step by Step Solution

1. Step 1: Write the proportion equation
   81,468 : 109,626 = 109,626 : x
2. Step 2: Convert to fraction form
   81,468/109,626 = 109,626/x
3. Step 3: Cross multiply
   81,468x = 109,626 × 109,626
4. Step 4: Simplify right side
   81,468x = 12,017,859,876
5. Step 5: Solve for x
   x = 12,017,859,876/81,468
6. Step 6: Final answer
   x = 147,516.32