Finding the Third Proportional to 82,746 and 131,084

Step by Step Solution

1. Step 1: Write the proportion equation
   82,746 : 131,084 = 131,084 : x
2. Step 2: Convert to fraction form
   82,746/131,084 = 131,084/x
3. Step 3: Cross multiply
   82,746x = 131,084 × 131,084
4. Step 4: Simplify right side
   82,746x = 17,183,015,056
5. Step 5: Solve for x
   x = 17,183,015,056/82,746
6. Step 6: Final answer
   x = 207,659.77