Finding the Third Proportional to 76,076 and 154,456

Step by Step Solution

1. Step 1: Write the proportion equation
   76,076 : 154,456 = 154,456 : x
2. Step 2: Convert to fraction form
   76,076/154,456 = 154,456/x
3. Step 3: Cross multiply
   76,076x = 154,456 × 154,456
4. Step 4: Simplify right side
   76,076x = 23,856,655,936
5. Step 5: Solve for x
   x = 23,856,655,936/76,076
6. Step 6: Final answer
   x = 313,589.78