Finding the Third Proportional to 78,922 and 173,396

Step by Step Solution

1. Step 1: Write the proportion equation
   78,922 : 173,396 = 173,396 : x
2. Step 2: Convert to fraction form
   78,922/173,396 = 173,396/x
3. Step 3: Cross multiply
   78,922x = 173,396 × 173,396
4. Step 4: Simplify right side
   78,922x = 30,066,172,816
5. Step 5: Solve for x
   x = 30,066,172,816/78,922
6. Step 6: Final answer
   x = 380,960.60