Finding the Third Proportional to 85,826 and 131,293

Step by Step Solution

1. Step 1: Write the proportion equation
   85,826 : 131,293 = 131,293 : x
2. Step 2: Convert to fraction form
   85,826/131,293 = 131,293/x
3. Step 3: Cross multiply
   85,826x = 131,293 × 131,293
4. Step 4: Simplify right side
   85,826x = 17,237,851,849
5. Step 5: Solve for x
   x = 17,237,851,849/85,826
6. Step 6: Final answer
   x = 200,846.50