Finding the Third Proportional to 47,162 and 101,674

Step by Step Solution

1. Step 1: Write the proportion equation
   47,162 : 101,674 = 101,674 : x
2. Step 2: Convert to fraction form
   47,162/101,674 = 101,674/x
3. Step 3: Cross multiply
   47,162x = 101,674 × 101,674
4. Step 4: Simplify right side
   47,162x = 10,337,602,276
5. Step 5: Solve for x
   x = 10,337,602,276/47,162
6. Step 6: Final answer
   x = 219,193.47