Finding the Third Proportional to 47,166 and 102,516

Step by Step Solution

1. Step 1: Write the proportion equation
   47,166 : 102,516 = 102,516 : x
2. Step 2: Convert to fraction form
   47,166/102,516 = 102,516/x
3. Step 3: Cross multiply
   47,166x = 102,516 × 102,516
4. Step 4: Simplify right side
   47,166x = 10,509,530,256
5. Step 5: Solve for x
   x = 10,509,530,256/47,166
6. Step 6: Final answer
   x = 222,820.05