Finding the Third Proportional to 47,908 and 101,864

Step by Step Solution

1. Step 1: Write the proportion equation
   47,908 : 101,864 = 101,864 : x
2. Step 2: Convert to fraction form
   47,908/101,864 = 101,864/x
3. Step 3: Cross multiply
   47,908x = 101,864 × 101,864
4. Step 4: Simplify right side
   47,908x = 10,376,274,496
5. Step 5: Solve for x
   x = 10,376,274,496/47,908
6. Step 6: Final answer
   x = 216,587.51