Finding the Third Proportional to 76,469 and 158,314

Step by Step Solution

1. Step 1: Write the proportion equation
   76,469 : 158,314 = 158,314 : x
2. Step 2: Convert to fraction form
   76,469/158,314 = 158,314/x
3. Step 3: Cross multiply
   76,469x = 158,314 × 158,314
4. Step 4: Simplify right side
   76,469x = 25,063,322,596
5. Step 5: Solve for x
   x = 25,063,322,596/76,469
6. Step 6: Final answer
   x = 327,757.95