Finding the Third Proportional to 77,682 and 123,195

Step by Step Solution

1. Step 1: Write the proportion equation
   77,682 : 123,195 = 123,195 : x
2. Step 2: Convert to fraction form
   77,682/123,195 = 123,195/x
3. Step 3: Cross multiply
   77,682x = 123,195 × 123,195
4. Step 4: Simplify right side
   77,682x = 15,177,008,025
5. Step 5: Solve for x
   x = 15,177,008,025/77,682
6. Step 6: Final answer
   x = 195,373.55