Finding the Third Proportional to 59,095 and 126,492

Step by Step Solution

1. Step 1: Write the proportion equation
   59,095 : 126,492 = 126,492 : x
2. Step 2: Convert to fraction form
   59,095/126,492 = 126,492/x
3. Step 3: Cross multiply
   59,095x = 126,492 × 126,492
4. Step 4: Simplify right side
   59,095x = 16,000,226,064
5. Step 5: Solve for x
   x = 16,000,226,064/59,095
6. Step 6: Final answer
   x = 270,754.31