Finding the Third Proportional to 118,233.50 and 256,561

Step by Step Solution

1. Step 1: Write the proportion equation
   118,233.50 : 256,561 = 256,561 : x
2. Step 2: Convert to fraction form
   118,233.50/256,561 = 256,561/x
3. Step 3: Cross multiply
   118,233.50x = 256,561 × 256,561
4. Step 4: Simplify right side
   118,233.50x = 65,823,546,721
5. Step 5: Solve for x
   x = 65,823,546,721/118,233.50
6. Step 6: Final answer
   x = 556,725.01