Finding the Third Proportional to 76,462 and 158,300

Step by Step Solution

1. Step 1: Write the proportion equation
   76,462 : 158,300 = 158,300 : x
2. Step 2: Convert to fraction form
   76,462/158,300 = 158,300/x
3. Step 3: Cross multiply
   76,462x = 158,300 × 158,300
4. Step 4: Simplify right side
   76,462x = 25,058,890,000
5. Step 5: Solve for x
   x = 25,058,890,000/76,462
6. Step 6: Final answer
   x = 327,729.98