Finding the Third Proportional to 117,708 and 257,271.75

Step by Step Solution

1. Step 1: Write the proportion equation
   117,708 : 257,271.75 = 257,271.75 : x
2. Step 2: Convert to fraction form
   117,708/257,271.75 = 257,271.75/x
3. Step 3: Cross multiply
   117,708x = 257,271.75 × 257,271.75
4. Step 4: Simplify right side
   117,708x = 66,188,753,348.06
5. Step 5: Solve for x
   x = 66,188,753,348.06/117,708
6. Step 6: Final answer
   x = 562,313.13