Finding the Third Proportional to 85,826 and 179,499

Step by Step Solution

1. Step 1: Write the proportion equation
   85,826 : 179,499 = 179,499 : x
2. Step 2: Convert to fraction form
   85,826/179,499 = 179,499/x
3. Step 3: Cross multiply
   85,826x = 179,499 × 179,499
4. Step 4: Simplify right side
   85,826x = 32,219,891,001
5. Step 5: Solve for x
   x = 32,219,891,001/85,826
6. Step 6: Final answer
   x = 375,409.44