Finding the Third Proportional to 49,289 and 77,218

Step by Step Solution

1. Step 1: Write the proportion equation
   49,289 : 77,218 = 77,218 : x
2. Step 2: Convert to fraction form
   49,289/77,218 = 77,218/x
3. Step 3: Cross multiply
   49,289x = 77,218 × 77,218
4. Step 4: Simplify right side
   49,289x = 5,962,619,524
5. Step 5: Solve for x
   x = 5,962,619,524/49,289
6. Step 6: Final answer
   x = 120,972.62