Finding the Third Proportional to 89,020 and 137,791

Step by Step Solution

1. Step 1: Write the proportion equation
   89,020 : 137,791 = 137,791 : x
2. Step 2: Convert to fraction form
   89,020/137,791 = 137,791/x
3. Step 3: Cross multiply
   89,020x = 137,791 × 137,791
4. Step 4: Simplify right side
   89,020x = 18,986,359,681
5. Step 5: Solve for x
   x = 18,986,359,681/89,020
6. Step 6: Final answer
   x = 213,281.96