Finding the Third Proportional to 77,656 and 123,156

Step by Step Solution

1. Step 1: Write the proportion equation
   77,656 : 123,156 = 123,156 : x
2. Step 2: Convert to fraction form
   77,656/123,156 = 123,156/x
3. Step 3: Cross multiply
   77,656x = 123,156 × 123,156
4. Step 4: Simplify right side
   77,656x = 15,167,400,336
5. Step 5: Solve for x
   x = 15,167,400,336/77,656
6. Step 6: Final answer
   x = 195,315.24