Finding the Third Proportional to 47,264 and 112,400

Step by Step Solution

1. Step 1: Write the proportion equation
   47,264 : 112,400 = 112,400 : x
2. Step 2: Convert to fraction form
   47,264/112,400 = 112,400/x
3. Step 3: Cross multiply
   47,264x = 112,400 × 112,400
4. Step 4: Simplify right side
   47,264x = 12,633,760,000
5. Step 5: Solve for x
   x = 12,633,760,000/47,264
6. Step 6: Final answer
   x = 267,301.96