Finding the Third Proportional to 76,092 and 154,488

Step by Step Solution

1. Step 1: Write the proportion equation
   76,092 : 154,488 = 154,488 : x
2. Step 2: Convert to fraction form
   76,092/154,488 = 154,488/x
3. Step 3: Cross multiply
   76,092x = 154,488 × 154,488
4. Step 4: Simplify right side
   76,092x = 23,866,542,144
5. Step 5: Solve for x
   x = 23,866,542,144/76,092
6. Step 6: Final answer
   x = 313,653.76