Finding the Third Proportional to 105,826.50 and 218,956.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,826.50 : 218,956.50 = 218,956.50 : x
2. Step 2: Convert to fraction form
   105,826.50/218,956.50 = 218,956.50/x
3. Step 3: Cross multiply
   105,826.50x = 218,956.50 × 218,956.50
4. Step 4: Simplify right side
   105,826.50x = 47,941,948,892.25
5. Step 5: Solve for x
   x = 47,941,948,892.25/105,826.50
6. Step 6: Final answer
   x = 453,024.04