Finding the Third Proportional to 77,680 and 123,192

Step by Step Solution

1. Step 1: Write the proportion equation
   77,680 : 123,192 = 123,192 : x
2. Step 2: Convert to fraction form
   77,680/123,192 = 123,192/x
3. Step 3: Cross multiply
   77,680x = 123,192 × 123,192
4. Step 4: Simplify right side
   77,680x = 15,176,268,864
5. Step 5: Solve for x
   x = 15,176,268,864/77,680
6. Step 6: Final answer
   x = 195,369.06