Finding the Third Proportional to 59,280 and 126,752

Step by Step Solution

1. Step 1: Write the proportion equation
   59,280 : 126,752 = 126,752 : x
2. Step 2: Convert to fraction form
   59,280/126,752 = 126,752/x
3. Step 3: Cross multiply
   59,280x = 126,752 × 126,752
4. Step 4: Simplify right side
   59,280x = 16,066,069,504
5. Step 5: Solve for x
   x = 16,066,069,504/59,280
6. Step 6: Final answer
   x = 271,020.07