Finding the Third Proportional to 47,120 and 103,552

Step by Step Solution

1. Step 1: Write the proportion equation
   47,120 : 103,552 = 103,552 : x
2. Step 2: Convert to fraction form
   47,120/103,552 = 103,552/x
3. Step 3: Cross multiply
   47,120x = 103,552 × 103,552
4. Step 4: Simplify right side
   47,120x = 10,723,016,704
5. Step 5: Solve for x
   x = 10,723,016,704/47,120
6. Step 6: Final answer
   x = 227,568.27