Finding the Third Proportional to 118,339.50 and 256,743

Step by Step Solution

1. Step 1: Write the proportion equation
   118,339.50 : 256,743 = 256,743 : x
2. Step 2: Convert to fraction form
   118,339.50/256,743 = 256,743/x
3. Step 3: Cross multiply
   118,339.50x = 256,743 × 256,743
4. Step 4: Simplify right side
   118,339.50x = 65,916,968,049
5. Step 5: Solve for x
   x = 65,916,968,049/118,339.50
6. Step 6: Final answer
   x = 557,015.77