Finding the Third Proportional to 47,166 and 102,514

Step by Step Solution

1. Step 1: Write the proportion equation
   47,166 : 102,514 = 102,514 : x
2. Step 2: Convert to fraction form
   47,166/102,514 = 102,514/x
3. Step 3: Cross multiply
   47,166x = 102,514 × 102,514
4. Step 4: Simplify right side
   47,166x = 10,509,120,196
5. Step 5: Solve for x
   x = 10,509,120,196/47,166
6. Step 6: Final answer
   x = 222,811.35