Finding the Third Proportional to 78,952 and 173,668

Step by Step Solution

1. Step 1: Write the proportion equation
   78,952 : 173,668 = 173,668 : x
2. Step 2: Convert to fraction form
   78,952/173,668 = 173,668/x
3. Step 3: Cross multiply
   78,952x = 173,668 × 173,668
4. Step 4: Simplify right side
   78,952x = 30,160,574,224
5. Step 5: Solve for x
   x = 30,160,574,224/78,952
6. Step 6: Final answer
   x = 382,011.53