Finding the Third Proportional to 105,419 and 226,956.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,419 : 226,956.50 = 226,956.50 : x
2. Step 2: Convert to fraction form
   105,419/226,956.50 = 226,956.50/x
3. Step 3: Cross multiply
   105,419x = 226,956.50 × 226,956.50
4. Step 4: Simplify right side
   105,419x = 51,509,252,892.25
5. Step 5: Solve for x
   x = 51,509,252,892.25/105,419
6. Step 6: Final answer
   x = 488,614.51