Finding the Third Proportional to 89,748 and 138,949.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,748 : 138,949.50 = 138,949.50 : x
2. Step 2: Convert to fraction form
   89,748/138,949.50 = 138,949.50/x
3. Step 3: Cross multiply
   89,748x = 138,949.50 × 138,949.50
4. Step 4: Simplify right side
   89,748x = 19,306,963,550.25
5. Step 5: Solve for x
   x = 19,306,963,550.25/89,748
6. Step 6: Final answer
   x = 215,124.16