Finding the Third Proportional to 89,006.50 and 137,771.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,006.50 : 137,771.50 = 137,771.50 : x
2. Step 2: Convert to fraction form
   89,006.50/137,771.50 = 137,771.50/x
3. Step 3: Cross multiply
   89,006.50x = 137,771.50 × 137,771.50
4. Step 4: Simplify right side
   89,006.50x = 18,980,986,212.25
5. Step 5: Solve for x
   x = 18,980,986,212.25/89,006.50
6. Step 6: Final answer
   x = 213,253.93