Finding the Third Proportional to 59,200.50 and 126,825

Step by Step Solution

1. Step 1: Write the proportion equation
   59,200.50 : 126,825 = 126,825 : x
2. Step 2: Convert to fraction form
   59,200.50/126,825 = 126,825/x
3. Step 3: Cross multiply
   59,200.50x = 126,825 × 126,825
4. Step 4: Simplify right side
   59,200.50x = 16,084,580,625
5. Step 5: Solve for x
   x = 16,084,580,625/59,200.50
6. Step 6: Final answer
   x = 271,696.70