Finding the Third Proportional to 76,626 and 123,039

Step by Step Solution

1. Step 1: Write the proportion equation
   76,626 : 123,039 = 123,039 : x
2. Step 2: Convert to fraction form
   76,626/123,039 = 123,039/x
3. Step 3: Cross multiply
   76,626x = 123,039 × 123,039
4. Step 4: Simplify right side
   76,626x = 15,138,595,521
5. Step 5: Solve for x
   x = 15,138,595,521/76,626
6. Step 6: Final answer
   x = 197,564.74