Finding the Third Proportional to 47,142 and 102,708

Step by Step Solution

1. Step 1: Write the proportion equation
   47,142 : 102,708 = 102,708 : x
2. Step 2: Convert to fraction form
   47,142/102,708 = 102,708/x
3. Step 3: Cross multiply
   47,142x = 102,708 × 102,708
4. Step 4: Simplify right side
   47,142x = 10,548,933,264
5. Step 5: Solve for x
   x = 10,548,933,264/47,142
6. Step 6: Final answer
   x = 223,769.32