Finding the Third Proportional to 49,944 and 77,328

Step by Step Solution

1. Step 1: Write the proportion equation
   49,944 : 77,328 = 77,328 : x
2. Step 2: Convert to fraction form
   49,944/77,328 = 77,328/x
3. Step 3: Cross multiply
   49,944x = 77,328 × 77,328
4. Step 4: Simplify right side
   49,944x = 5,979,619,584
5. Step 5: Solve for x
   x = 5,979,619,584/49,944
6. Step 6: Final answer
   x = 119,726.49