Finding the Third Proportional to 126,865.50 and 178,496.50

Step by Step Solution

1. Step 1: Write the proportion equation
   126,865.50 : 178,496.50 = 178,496.50 : x
2. Step 2: Convert to fraction form
   126,865.50/178,496.50 = 178,496.50/x
3. Step 3: Cross multiply
   126,865.50x = 178,496.50 × 178,496.50
4. Step 4: Simplify right side
   126,865.50x = 31,861,000,512.25
5. Step 5: Solve for x
   x = 31,861,000,512.25/126,865.50
6. Step 6: Final answer
   x = 251,139.99