Finding the Third Proportional to 47,534 and 101,434

Step by Step Solution

1. Step 1: Write the proportion equation
   47,534 : 101,434 = 101,434 : x
2. Step 2: Convert to fraction form
   47,534/101,434 = 101,434/x
3. Step 3: Cross multiply
   47,534x = 101,434 × 101,434
4. Step 4: Simplify right side
   47,534x = 10,288,856,356
5. Step 5: Solve for x
   x = 10,288,856,356/47,534
6. Step 6: Final answer
   x = 216,452.57