Finding the Third Proportional to 80,598 and 113,300

Step by Step Solution

1. Step 1: Write the proportion equation
   80,598 : 113,300 = 113,300 : x
2. Step 2: Convert to fraction form
   80,598/113,300 = 113,300/x
3. Step 3: Cross multiply
   80,598x = 113,300 × 113,300
4. Step 4: Simplify right side
   80,598x = 12,836,890,000
5. Step 5: Solve for x
   x = 12,836,890,000/80,598
6. Step 6: Final answer
   x = 159,270.58