Finding the Third Proportional to 359,723 and 527,919.50

Step by Step Solution

1. Step 1: Write the proportion equation
   359,723 : 527,919.50 = 527,919.50 : x
2. Step 2: Convert to fraction form
   359,723/527,919.50 = 527,919.50/x
3. Step 3: Cross multiply
   359,723x = 527,919.50 × 527,919.50
4. Step 4: Simplify right side
   359,723x = 278,698,998,480.25
5. Step 5: Solve for x
   x = 278,698,998,480.25/359,723
6. Step 6: Final answer
   x = 774,760.02