Finding the Third Proportional to 47,142 and 101,665

Step by Step Solution

1. Step 1: Write the proportion equation
   47,142 : 101,665 = 101,665 : x
2. Step 2: Convert to fraction form
   47,142/101,665 = 101,665/x
3. Step 3: Cross multiply
   47,142x = 101,665 × 101,665
4. Step 4: Simplify right side
   47,142x = 10,335,772,225
5. Step 5: Solve for x
   x = 10,335,772,225/47,142
6. Step 6: Final answer
   x = 219,247.64