Finding the Third Proportional to 118,233 and 256,560

Step by Step Solution

1. Step 1: Write the proportion equation
   118,233 : 256,560 = 256,560 : x
2. Step 2: Convert to fraction form
   118,233/256,560 = 256,560/x
3. Step 3: Cross multiply
   118,233x = 256,560 × 256,560
4. Step 4: Simplify right side
   118,233x = 65,823,033,600
5. Step 5: Solve for x
   x = 65,823,033,600/118,233
6. Step 6: Final answer
   x = 556,723.03