Finding the Third Proportional to 105,799.50 and 226,363.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,799.50 : 226,363.50 = 226,363.50 : x
2. Step 2: Convert to fraction form
   105,799.50/226,363.50 = 226,363.50/x
3. Step 3: Cross multiply
   105,799.50x = 226,363.50 × 226,363.50
4. Step 4: Simplify right side
   105,799.50x = 51,240,434,132.25
5. Step 5: Solve for x
   x = 51,240,434,132.25/105,799.50
6. Step 6: Final answer
   x = 484,316.41