Finding the Third Proportional to 89,478 and 137,025

Step by Step Solution

1. Step 1: Write the proportion equation
   89,478 : 137,025 = 137,025 : x
2. Step 2: Convert to fraction form
   89,478/137,025 = 137,025/x
3. Step 3: Cross multiply
   89,478x = 137,025 × 137,025
4. Step 4: Simplify right side
   89,478x = 18,775,850,625
5. Step 5: Solve for x
   x = 18,775,850,625/89,478
6. Step 6: Final answer
   x = 209,837.62