Finding the Third Proportional to 86,119.50 and 126,627.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,119.50 : 126,627.50 = 126,627.50 : x
2. Step 2: Convert to fraction form
   86,119.50/126,627.50 = 126,627.50/x
3. Step 3: Cross multiply
   86,119.50x = 126,627.50 × 126,627.50
4. Step 4: Simplify right side
   86,119.50x = 16,034,523,756.25
5. Step 5: Solve for x
   x = 16,034,523,756.25/86,119.50
6. Step 6: Final answer
   x = 186,189.23