Finding the Third Proportional to 120,105 and 278,014

Step by Step Solution

1. Step 1: Write the proportion equation
   120,105 : 278,014 = 278,014 : x
2. Step 2: Convert to fraction form
   120,105/278,014 = 278,014/x
3. Step 3: Cross multiply
   120,105x = 278,014 × 278,014
4. Step 4: Simplify right side
   120,105x = 77,291,784,196
5. Step 5: Solve for x
   x = 77,291,784,196/120,105
6. Step 6: Final answer
   x = 643,535.11