Finding the Third Proportional to 83,596 and 178,694

Step by Step Solution

1. Step 1: Write the proportion equation
   83,596 : 178,694 = 178,694 : x
2. Step 2: Convert to fraction form
   83,596/178,694 = 178,694/x
3. Step 3: Cross multiply
   83,596x = 178,694 × 178,694
4. Step 4: Simplify right side
   83,596x = 31,931,545,636
5. Step 5: Solve for x
   x = 31,931,545,636/83,596
6. Step 6: Final answer
   x = 381,974.56