Finding the Third Proportional to 1,250.86 and 1,778.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,250.86 : 1,778.20 = 1,778.20 : x
2. Step 2: Convert to fraction form
   1,250.86/1,778.20 = 1,778.20/x
3. Step 3: Cross multiply
   1,250.86x = 1,778.20 × 1,778.20
4. Step 4: Simplify right side
   1,250.86x = 3,162,006.35
5. Step 5: Solve for x
   x = 3,162,006.35/1,250.86
6. Step 6: Final answer
   x = 2,527.87