Finding the Third Proportional to 89,018 and 138,633

Step by Step Solution

1. Step 1: Write the proportion equation
   89,018 : 138,633 = 138,633 : x
2. Step 2: Convert to fraction form
   89,018/138,633 = 138,633/x
3. Step 3: Cross multiply
   89,018x = 138,633 × 138,633
4. Step 4: Simplify right side
   89,018x = 19,219,108,689
5. Step 5: Solve for x
   x = 19,219,108,689/89,018
6. Step 6: Final answer
   x = 215,901.38