Finding the Third Proportional to 47,629 and 103,460

Step by Step Solution

1. Step 1: Write the proportion equation
   47,629 : 103,460 = 103,460 : x
2. Step 2: Convert to fraction form
   47,629/103,460 = 103,460/x
3. Step 3: Cross multiply
   47,629x = 103,460 × 103,460
4. Step 4: Simplify right side
   47,629x = 10,703,971,600
5. Step 5: Solve for x
   x = 10,703,971,600/47,629
6. Step 6: Final answer
   x = 224,736.43