Finding the Third Proportional to 82,794 and 131,158

Step by Step Solution

1. Step 1: Write the proportion equation
   82,794 : 131,158 = 131,158 : x
2. Step 2: Convert to fraction form
   82,794/131,158 = 131,158/x
3. Step 3: Cross multiply
   82,794x = 131,158 × 131,158
4. Step 4: Simplify right side
   82,794x = 17,202,420,964
5. Step 5: Solve for x
   x = 17,202,420,964/82,794
6. Step 6: Final answer
   x = 207,773.76