Finding the Third Proportional to 77,745 and 123,768

Step by Step Solution

1. Step 1: Write the proportion equation
   77,745 : 123,768 = 123,768 : x
2. Step 2: Convert to fraction form
   77,745/123,768 = 123,768/x
3. Step 3: Cross multiply
   77,745x = 123,768 × 123,768
4. Step 4: Simplify right side
   77,745x = 15,318,517,824
5. Step 5: Solve for x
   x = 15,318,517,824/77,745
6. Step 6: Final answer
   x = 197,035.41