Finding the Third Proportional to 117,962.50 and 256,660

Step by Step Solution

1. Step 1: Write the proportion equation
   117,962.50 : 256,660 = 256,660 : x
2. Step 2: Convert to fraction form
   117,962.50/256,660 = 256,660/x
3. Step 3: Cross multiply
   117,962.50x = 256,660 × 256,660
4. Step 4: Simplify right side
   117,962.50x = 65,874,355,600
5. Step 5: Solve for x
   x = 65,874,355,600/117,962.50
6. Step 6: Final answer
   x = 558,434.72