Finding the Third Proportional to 59,184 and 126,792

Step by Step Solution

1. Step 1: Write the proportion equation
   59,184 : 126,792 = 126,792 : x
2. Step 2: Convert to fraction form
   59,184/126,792 = 126,792/x
3. Step 3: Cross multiply
   59,184x = 126,792 × 126,792
4. Step 4: Simplify right side
   59,184x = 16,076,211,264
5. Step 5: Solve for x
   x = 16,076,211,264/59,184
6. Step 6: Final answer
   x = 271,631.04