Finding the Third Proportional to 77,596 and 123,066

Step by Step Solution

1. Step 1: Write the proportion equation
   77,596 : 123,066 = 123,066 : x
2. Step 2: Convert to fraction form
   77,596/123,066 = 123,066/x
3. Step 3: Cross multiply
   77,596x = 123,066 × 123,066
4. Step 4: Simplify right side
   77,596x = 15,145,240,356
5. Step 5: Solve for x
   x = 15,145,240,356/77,596
6. Step 6: Final answer
   x = 195,180.68