Finding the Third Proportional to 47,466 and 102,456

Step by Step Solution

1. Step 1: Write the proportion equation
   47,466 : 102,456 = 102,456 : x
2. Step 2: Convert to fraction form
   47,466/102,456 = 102,456/x
3. Step 3: Cross multiply
   47,466x = 102,456 × 102,456
4. Step 4: Simplify right side
   47,466x = 10,497,231,936
5. Step 5: Solve for x
   x = 10,497,231,936/47,466
6. Step 6: Final answer
   x = 221,152.66