Finding the Third Proportional to 89,000 and 137,758

Step by Step Solution

1. Step 1: Write the proportion equation
   89,000 : 137,758 = 137,758 : x
2. Step 2: Convert to fraction form
   89,000/137,758 = 137,758/x
3. Step 3: Cross multiply
   89,000x = 137,758 × 137,758
4. Step 4: Simplify right side
   89,000x = 18,977,266,564
5. Step 5: Solve for x
   x = 18,977,266,564/89,000
6. Step 6: Final answer
   x = 213,227.71