Finding the Third Proportional to 120,105 and 278,010

Step by Step Solution

1. Step 1: Write the proportion equation
   120,105 : 278,010 = 278,010 : x
2. Step 2: Convert to fraction form
   120,105/278,010 = 278,010/x
3. Step 3: Cross multiply
   120,105x = 278,010 × 278,010
4. Step 4: Simplify right side
   120,105x = 77,289,560,100
5. Step 5: Solve for x
   x = 77,289,560,100/120,105
6. Step 6: Final answer
   x = 643,516.59