Finding the Third Proportional to 77,796 and 123,849

Step by Step Solution

1. Step 1: Write the proportion equation
   77,796 : 123,849 = 123,849 : x
2. Step 2: Convert to fraction form
   77,796/123,849 = 123,849/x
3. Step 3: Cross multiply
   77,796x = 123,849 × 123,849
4. Step 4: Simplify right side
   77,796x = 15,338,574,801
5. Step 5: Solve for x
   x = 15,338,574,801/77,796
6. Step 6: Final answer
   x = 197,164.05