Finding the Third Proportional to 89,498 and 137,667

Step by Step Solution

1. Step 1: Write the proportion equation
   89,498 : 137,667 = 137,667 : x
2. Step 2: Convert to fraction form
   89,498/137,667 = 137,667/x
3. Step 3: Cross multiply
   89,498x = 137,667 × 137,667
4. Step 4: Simplify right side
   89,498x = 18,952,202,889
5. Step 5: Solve for x
   x = 18,952,202,889/89,498
6. Step 6: Final answer
   x = 211,761.19