Finding the Third Proportional to 47,117 and 102,414

Step by Step Solution

1. Step 1: Write the proportion equation
   47,117 : 102,414 = 102,414 : x
2. Step 2: Convert to fraction form
   47,117/102,414 = 102,414/x
3. Step 3: Cross multiply
   47,117x = 102,414 × 102,414
4. Step 4: Simplify right side
   47,117x = 10,488,627,396
5. Step 5: Solve for x
   x = 10,488,627,396/47,117
6. Step 6: Final answer
   x = 222,608.13