Finding the Third Proportional to 262,116 and 392,238

Step by Step Solution

1. Step 1: Write the proportion equation
   262,116 : 392,238 = 392,238 : x
2. Step 2: Convert to fraction form
   262,116/392,238 = 392,238/x
3. Step 3: Cross multiply
   262,116x = 392,238 × 392,238
4. Step 4: Simplify right side
   262,116x = 153,850,648,644
5. Step 5: Solve for x
   x = 153,850,648,644/262,116
6. Step 6: Final answer
   x = 586,956.34