Finding the Third Proportional to 80,580 and 113,274

Step by Step Solution

1. Step 1: Write the proportion equation
   80,580 : 113,274 = 113,274 : x
2. Step 2: Convert to fraction form
   80,580/113,274 = 113,274/x
3. Step 3: Cross multiply
   80,580x = 113,274 × 113,274
4. Step 4: Simplify right side
   80,580x = 12,830,999,076
5. Step 5: Solve for x
   x = 12,830,999,076/80,580
6. Step 6: Final answer
   x = 159,233.05