Finding the Third Proportional to 120,108 and 278,019.75

Step by Step Solution

1. Step 1: Write the proportion equation
   120,108 : 278,019.75 = 278,019.75 : x
2. Step 2: Convert to fraction form
   120,108/278,019.75 = 278,019.75/x
3. Step 3: Cross multiply
   120,108x = 278,019.75 × 278,019.75
4. Step 4: Simplify right side
   120,108x = 77,294,981,390.06
5. Step 5: Solve for x
   x = 77,294,981,390.06/120,108
6. Step 6: Final answer
   x = 643,545.65