Finding the Third Proportional to 82,008 and 173,808

Step by Step Solution

1. Step 1: Write the proportion equation
   82,008 : 173,808 = 173,808 : x
2. Step 2: Convert to fraction form
   82,008/173,808 = 173,808/x
3. Step 3: Cross multiply
   82,008x = 173,808 × 173,808
4. Step 4: Simplify right side
   82,008x = 30,209,220,864
5. Step 5: Solve for x
   x = 30,209,220,864/82,008
6. Step 6: Final answer
   x = 368,369.19