Finding the Third Proportional to 117,723.75 and 257,694

Step by Step Solution

1. Step 1: Write the proportion equation
   117,723.75 : 257,694 = 257,694 : x
2. Step 2: Convert to fraction form
   117,723.75/257,694 = 257,694/x
3. Step 3: Cross multiply
   117,723.75x = 257,694 × 257,694
4. Step 4: Simplify right side
   117,723.75x = 66,406,197,636
5. Step 5: Solve for x
   x = 66,406,197,636/117,723.75
6. Step 6: Final answer
   x = 564,084.97