Finding the Third Proportional to 77,727.75 and 123,486

Step by Step Solution

1. Step 1: Write the proportion equation
   77,727.75 : 123,486 = 123,486 : x
2. Step 2: Convert to fraction form
   77,727.75/123,486 = 123,486/x
3. Step 3: Cross multiply
   77,727.75x = 123,486 × 123,486
4. Step 4: Simplify right side
   77,727.75x = 15,248,792,196
5. Step 5: Solve for x
   x = 15,248,792,196/77,727.75
6. Step 6: Final answer
   x = 196,182.09