Finding the Third Proportional to 89,862 and 137,655

Step by Step Solution

1. Step 1: Write the proportion equation
   89,862 : 137,655 = 137,655 : x
2. Step 2: Convert to fraction form
   89,862/137,655 = 137,655/x
3. Step 3: Cross multiply
   89,862x = 137,655 × 137,655
4. Step 4: Simplify right side
   89,862x = 18,948,899,025
5. Step 5: Solve for x
   x = 18,948,899,025/89,862
6. Step 6: Final answer
   x = 210,866.65