Finding the Third Proportional to 76,428 and 158,256

Step by Step Solution

1. Step 1: Write the proportion equation
   76,428 : 158,256 = 158,256 : x
2. Step 2: Convert to fraction form
   76,428/158,256 = 158,256/x
3. Step 3: Cross multiply
   76,428x = 158,256 × 158,256
4. Step 4: Simplify right side
   76,428x = 25,044,961,536
5. Step 5: Solve for x
   x = 25,044,961,536/76,428
6. Step 6: Final answer
   x = 327,693.54