Finding the Third Proportional to 123,362 and 256,420

Step by Step Solution

1. Step 1: Write the proportion equation
   123,362 : 256,420 = 256,420 : x
2. Step 2: Convert to fraction form
   123,362/256,420 = 256,420/x
3. Step 3: Cross multiply
   123,362x = 256,420 × 256,420
4. Step 4: Simplify right side
   123,362x = 65,751,216,400
5. Step 5: Solve for x
   x = 65,751,216,400/123,362
6. Step 6: Final answer
   x = 532,994.09