Finding the Third Proportional to 262,846 and 411,789

Step by Step Solution

1. Step 1: Write the proportion equation
   262,846 : 411,789 = 411,789 : x
2. Step 2: Convert to fraction form
   262,846/411,789 = 411,789/x
3. Step 3: Cross multiply
   262,846x = 411,789 × 411,789
4. Step 4: Simplify right side
   262,846x = 169,570,180,521
5. Step 5: Solve for x
   x = 169,570,180,521/262,846
6. Step 6: Final answer
   x = 645,131.30