Finding the Third Proportional to 100,826 and 220,119.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,826 : 220,119.50 = 220,119.50 : x
2. Step 2: Convert to fraction form
   100,826/220,119.50 = 220,119.50/x
3. Step 3: Cross multiply
   100,826x = 220,119.50 × 220,119.50
4. Step 4: Simplify right side
   100,826x = 48,452,594,280.25
5. Step 5: Solve for x
   x = 48,452,594,280.25/100,826
6. Step 6: Final answer
   x = 480,556.55