Finding the Third Proportional to 47,632 and 103,474

Step by Step Solution

1. Step 1: Write the proportion equation
   47,632 : 103,474 = 103,474 : x
2. Step 2: Convert to fraction form
   47,632/103,474 = 103,474/x
3. Step 3: Cross multiply
   47,632x = 103,474 × 103,474
4. Step 4: Simplify right side
   47,632x = 10,706,868,676
5. Step 5: Solve for x
   x = 10,706,868,676/47,632
6. Step 6: Final answer
   x = 224,783.10