Finding the Third Proportional to 120,184 and 278,216

Step by Step Solution

1. Step 1: Write the proportion equation
   120,184 : 278,216 = 278,216 : x
2. Step 2: Convert to fraction form
   120,184/278,216 = 278,216/x
3. Step 3: Cross multiply
   120,184x = 278,216 × 278,216
4. Step 4: Simplify right side
   120,184x = 77,404,142,656
5. Step 5: Solve for x
   x = 77,404,142,656/120,184
6. Step 6: Final answer
   x = 644,046.98