Finding the Third Proportional to 90,629 and 137,864

Step by Step Solution

1. Step 1: Write the proportion equation
   90,629 : 137,864 = 137,864 : x
2. Step 2: Convert to fraction form
   90,629/137,864 = 137,864/x
3. Step 3: Cross multiply
   90,629x = 137,864 × 137,864
4. Step 4: Simplify right side
   90,629x = 19,006,482,496
5. Step 5: Solve for x
   x = 19,006,482,496/90,629
6. Step 6: Final answer
   x = 209,717.45