Finding the Third Proportional to 240,826 and 375,026

Step by Step Solution

1. Step 1: Write the proportion equation
   240,826 : 375,026 = 375,026 : x
2. Step 2: Convert to fraction form
   240,826/375,026 = 375,026/x
3. Step 3: Cross multiply
   240,826x = 375,026 × 375,026
4. Step 4: Simplify right side
   240,826x = 140,644,500,676
5. Step 5: Solve for x
   x = 140,644,500,676/240,826
6. Step 6: Final answer
   x = 584,008.79