Finding the Third Proportional to 86,872 and 137,668.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,872 : 137,668.50 = 137,668.50 : x
2. Step 2: Convert to fraction form
   86,872/137,668.50 = 137,668.50/x
3. Step 3: Cross multiply
   86,872x = 137,668.50 × 137,668.50
4. Step 4: Simplify right side
   86,872x = 18,952,615,892.25
5. Step 5: Solve for x
   x = 18,952,615,892.25/86,872
6. Step 6: Final answer
   x = 218,167.14