Finding the Third Proportional to 51,466 and 112,400

Step by Step Solution

1. Step 1: Write the proportion equation
   51,466 : 112,400 = 112,400 : x
2. Step 2: Convert to fraction form
   51,466/112,400 = 112,400/x
3. Step 3: Cross multiply
   51,466x = 112,400 × 112,400
4. Step 4: Simplify right side
   51,466x = 12,633,760,000
5. Step 5: Solve for x
   x = 12,633,760,000/51,466
6. Step 6: Final answer
   x = 245,477.79