Finding the Third Proportional to 49,806 and 78,902

Step by Step Solution

1. Step 1: Write the proportion equation
   49,806 : 78,902 = 78,902 : x
2. Step 2: Convert to fraction form
   49,806/78,902 = 78,902/x
3. Step 3: Cross multiply
   49,806x = 78,902 × 78,902
4. Step 4: Simplify right side
   49,806x = 6,225,525,604
5. Step 5: Solve for x
   x = 6,225,525,604/49,806
6. Step 6: Final answer
   x = 124,995.49