Finding the Third Proportional to 85,008 and 173,696

Step by Step Solution

1. Step 1: Write the proportion equation
   85,008 : 173,696 = 173,696 : x
2. Step 2: Convert to fraction form
   85,008/173,696 = 173,696/x
3. Step 3: Cross multiply
   85,008x = 173,696 × 173,696
4. Step 4: Simplify right side
   85,008x = 30,170,300,416
5. Step 5: Solve for x
   x = 30,170,300,416/85,008
6. Step 6: Final answer
   x = 354,911.31