Finding the Third Proportional to 162,066 and 256,422

Step by Step Solution

1. Step 1: Write the proportion equation
   162,066 : 256,422 = 256,422 : x
2. Step 2: Convert to fraction form
   162,066/256,422 = 256,422/x
3. Step 3: Cross multiply
   162,066x = 256,422 × 256,422
4. Step 4: Simplify right side
   162,066x = 65,752,242,084
5. Step 5: Solve for x
   x = 65,752,242,084/162,066
6. Step 6: Final answer
   x = 405,712.75