Finding the Third Proportional to 80,590 and 113,289

Step by Step Solution

1. Step 1: Write the proportion equation
   80,590 : 113,289 = 113,289 : x
2. Step 2: Convert to fraction form
   80,590/113,289 = 113,289/x
3. Step 3: Cross multiply
   80,590x = 113,289 × 113,289
4. Step 4: Simplify right side
   80,590x = 12,834,397,521
5. Step 5: Solve for x
   x = 12,834,397,521/80,590
6. Step 6: Final answer
   x = 159,255.46