Finding the Third Proportional to 89,496 and 137,664

Step by Step Solution

1. Step 1: Write the proportion equation
   89,496 : 137,664 = 137,664 : x
2. Step 2: Convert to fraction form
   89,496/137,664 = 137,664/x
3. Step 3: Cross multiply
   89,496x = 137,664 × 137,664
4. Step 4: Simplify right side
   89,496x = 18,951,376,896
5. Step 5: Solve for x
   x = 18,951,376,896/89,496
6. Step 6: Final answer
   x = 211,756.69