Finding the Third Proportional to 120,825 and 284,278.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,825 : 284,278.50 = 284,278.50 : x
2. Step 2: Convert to fraction form
   120,825/284,278.50 = 284,278.50/x
3. Step 3: Cross multiply
   120,825x = 284,278.50 × 284,278.50
4. Step 4: Simplify right side
   120,825x = 80,814,265,562.25
5. Step 5: Solve for x
   x = 80,814,265,562.25/120,825
6. Step 6: Final answer
   x = 668,853.84