Finding the Third Proportional to 89,746 and 138,940

Step by Step Solution

1. Step 1: Write the proportion equation
   89,746 : 138,940 = 138,940 : x
2. Step 2: Convert to fraction form
   89,746/138,940 = 138,940/x
3. Step 3: Cross multiply
   89,746x = 138,940 × 138,940
4. Step 4: Simplify right side
   89,746x = 19,304,323,600
5. Step 5: Solve for x
   x = 19,304,323,600/89,746
6. Step 6: Final answer
   x = 215,099.54