Finding the Third Proportional to 105,614.16 and 219,964.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,614.16 : 219,964.50 = 219,964.50 : x
2. Step 2: Convert to fraction form
   105,614.16/219,964.50 = 219,964.50/x
3. Step 3: Cross multiply
   105,614.16x = 219,964.50 × 219,964.50
4. Step 4: Simplify right side
   105,614.16x = 48,384,381,260.25
5. Step 5: Solve for x
   x = 48,384,381,260.25/105,614.16
6. Step 6: Final answer
   x = 458,124.01