Finding the Third Proportional to 118,362 and 256,422

Step by Step Solution

1. Step 1: Write the proportion equation
   118,362 : 256,422 = 256,422 : x
2. Step 2: Convert to fraction form
   118,362/256,422 = 256,422/x
3. Step 3: Cross multiply
   118,362x = 256,422 × 256,422
4. Step 4: Simplify right side
   118,362x = 65,752,242,084
5. Step 5: Solve for x
   x = 65,752,242,084/118,362
6. Step 6: Final answer
   x = 555,518.17