Finding the Third Proportional to 47,561 and 112,478

Step by Step Solution

1. Step 1: Write the proportion equation
   47,561 : 112,478 = 112,478 : x
2. Step 2: Convert to fraction form
   47,561/112,478 = 112,478/x
3. Step 3: Cross multiply
   47,561x = 112,478 × 112,478
4. Step 4: Simplify right side
   47,561x = 12,651,300,484
5. Step 5: Solve for x
   x = 12,651,300,484/47,561
6. Step 6: Final answer
   x = 266,001.57