Finding the Third Proportional to 118.50 and 256.63

Step by Step Solution

1. Step 1: Write the proportion equation
   118.50 : 256.63 = 256.63 : x
2. Step 2: Convert to fraction form
   118.50/256.63 = 256.63/x
3. Step 3: Cross multiply
   118.50x = 256.63 × 256.63
4. Step 4: Simplify right side
   118.50x = 65,856.39
5. Step 5: Solve for x
   x = 65,856.39/118.50
6. Step 6: Final answer
   x = 555.75