Finding the Third Proportional to 271,908 and 420,162.75

Step by Step Solution

1. Step 1: Write the proportion equation
   271,908 : 420,162.75 = 420,162.75 : x
2. Step 2: Convert to fraction form
   271,908/420,162.75 = 420,162.75/x
3. Step 3: Cross multiply
   271,908x = 420,162.75 × 420,162.75
4. Step 4: Simplify right side
   271,908x = 176,536,736,487.56
5. Step 5: Solve for x
   x = 176,536,736,487.56/271,908
6. Step 6: Final answer
   x = 649,251.72