Finding the Third Proportional to 370.83 and 781.52

Step by Step Solution

1. Step 1: Write the proportion equation
   370.83 : 781.52 = 781.52 : x
2. Step 2: Convert to fraction form
   370.83/781.52 = 781.52/x
3. Step 3: Cross multiply
   370.83x = 781.52 × 781.52
4. Step 4: Simplify right side
   370.83x = 610,778.88
5. Step 5: Solve for x
   x = 610,778.88/370.83
6. Step 6: Final answer
   x = 1,647.07