Finding the Third Proportional to 47,005 and 102,650

Step by Step Solution

1. Step 1: Write the proportion equation
   47,005 : 102,650 = 102,650 : x
2. Step 2: Convert to fraction form
   47,005/102,650 = 102,650/x
3. Step 3: Cross multiply
   47,005x = 102,650 × 102,650
4. Step 4: Simplify right side
   47,005x = 10,537,022,500
5. Step 5: Solve for x
   x = 10,537,022,500/47,005
6. Step 6: Final answer
   x = 224,168.12