Finding the Third Proportional to 49,824 and 77,148

Step by Step Solution

1. Step 1: Write the proportion equation
   49,824 : 77,148 = 77,148 : x
2. Step 2: Convert to fraction form
   49,824/77,148 = 77,148/x
3. Step 3: Cross multiply
   49,824x = 77,148 × 77,148
4. Step 4: Simplify right side
   49,824x = 5,951,813,904
5. Step 5: Solve for x
   x = 5,951,813,904/49,824
6. Step 6: Final answer
   x = 119,456.77