Finding the Third Proportional to 59,244 and 126,160

Step by Step Solution

1. Step 1: Write the proportion equation
   59,244 : 126,160 = 126,160 : x
2. Step 2: Convert to fraction form
   59,244/126,160 = 126,160/x
3. Step 3: Cross multiply
   59,244x = 126,160 × 126,160
4. Step 4: Simplify right side
   59,244x = 15,916,345,600
5. Step 5: Solve for x
   x = 15,916,345,600/59,244
6. Step 6: Final answer
   x = 268,657.51