Finding the Third Proportional to 49,802 and 78,896

Step by Step Solution

1. Step 1: Write the proportion equation
   49,802 : 78,896 = 78,896 : x
2. Step 2: Convert to fraction form
   49,802/78,896 = 78,896/x
3. Step 3: Cross multiply
   49,802x = 78,896 × 78,896
4. Step 4: Simplify right side
   49,802x = 6,224,578,816
5. Step 5: Solve for x
   x = 6,224,578,816/49,802
6. Step 6: Final answer
   x = 124,986.52