Finding the Third Proportional to 59,321 and 126,178

Step by Step Solution

1. Step 1: Write the proportion equation
   59,321 : 126,178 = 126,178 : x
2. Step 2: Convert to fraction form
   59,321/126,178 = 126,178/x
3. Step 3: Cross multiply
   59,321x = 126,178 × 126,178
4. Step 4: Simplify right side
   59,321x = 15,920,887,684
5. Step 5: Solve for x
   x = 15,920,887,684/59,321
6. Step 6: Final answer
   x = 268,385.36