Finding the Third Proportional to 126,031.50 and 195,142.50

Step by Step Solution

1. Step 1: Write the proportion equation
   126,031.50 : 195,142.50 = 195,142.50 : x
2. Step 2: Convert to fraction form
   126,031.50/195,142.50 = 195,142.50/x
3. Step 3: Cross multiply
   126,031.50x = 195,142.50 × 195,142.50
4. Step 4: Simplify right side
   126,031.50x = 38,080,595,306.25
5. Step 5: Solve for x
   x = 38,080,595,306.25/126,031.50
6. Step 6: Final answer
   x = 302,151.41