Finding the Third Proportional to 175,686 and 342,540

Step by Step Solution

1. Step 1: Write the proportion equation
   175,686 : 342,540 = 342,540 : x
2. Step 2: Convert to fraction form
   175,686/342,540 = 342,540/x
3. Step 3: Cross multiply
   175,686x = 342,540 × 342,540
4. Step 4: Simplify right side
   175,686x = 117,333,651,600
5. Step 5: Solve for x
   x = 117,333,651,600/175,686
6. Step 6: Final answer
   x = 667,860.00