Finding the Third Proportional to 49,816 and 77,320

Step by Step Solution

1. Step 1: Write the proportion equation
   49,816 : 77,320 = 77,320 : x
2. Step 2: Convert to fraction form
   49,816/77,320 = 77,320/x
3. Step 3: Cross multiply
   49,816x = 77,320 × 77,320
4. Step 4: Simplify right side
   49,816x = 5,978,382,400
5. Step 5: Solve for x
   x = 5,978,382,400/49,816
6. Step 6: Final answer
   x = 120,009.28