Finding the Third Proportional to 82,593 and 131,274

Step by Step Solution

1. Step 1: Write the proportion equation
   82,593 : 131,274 = 131,274 : x
2. Step 2: Convert to fraction form
   82,593/131,274 = 131,274/x
3. Step 3: Cross multiply
   82,593x = 131,274 × 131,274
4. Step 4: Simplify right side
   82,593x = 17,232,863,076
5. Step 5: Solve for x
   x = 17,232,863,076/82,593
6. Step 6: Final answer
   x = 208,647.99