Finding the Third Proportional to 89,499 and 137,668.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,499 : 137,668.50 = 137,668.50 : x
2. Step 2: Convert to fraction form
   89,499/137,668.50 = 137,668.50/x
3. Step 3: Cross multiply
   89,499x = 137,668.50 × 137,668.50
4. Step 4: Simplify right side
   89,499x = 18,952,615,892.25
5. Step 5: Solve for x
   x = 18,952,615,892.25/89,499
6. Step 6: Final answer
   x = 211,763.44