Finding the Third Proportional to 89,014 and 137,446

Step by Step Solution

1. Step 1: Write the proportion equation
   89,014 : 137,446 = 137,446 : x
2. Step 2: Convert to fraction form
   89,014/137,446 = 137,446/x
3. Step 3: Cross multiply
   89,014x = 137,446 × 137,446
4. Step 4: Simplify right side
   89,014x = 18,891,402,916
5. Step 5: Solve for x
   x = 18,891,402,916/89,014
6. Step 6: Final answer
   x = 212,229.57