Finding the Third Proportional to 47,680 and 102,632

Step by Step Solution

1. Step 1: Write the proportion equation
   47,680 : 102,632 = 102,632 : x
2. Step 2: Convert to fraction form
   47,680/102,632 = 102,632/x
3. Step 3: Cross multiply
   47,680x = 102,632 × 102,632
4. Step 4: Simplify right side
   47,680x = 10,533,327,424
5. Step 5: Solve for x
   x = 10,533,327,424/47,680
6. Step 6: Final answer
   x = 220,917.10