Finding the Third Proportional to 123,360 and 256,417

Step by Step Solution

1. Step 1: Write the proportion equation
   123,360 : 256,417 = 256,417 : x
2. Step 2: Convert to fraction form
   123,360/256,417 = 256,417/x
3. Step 3: Cross multiply
   123,360x = 256,417 × 256,417
4. Step 4: Simplify right side
   123,360x = 65,749,677,889
5. Step 5: Solve for x
   x = 65,749,677,889/123,360
6. Step 6: Final answer
   x = 532,990.26