Finding the Third Proportional to 82,012 and 173,816

Step by Step Solution

1. Step 1: Write the proportion equation
   82,012 : 173,816 = 173,816 : x
2. Step 2: Convert to fraction form
   82,012/173,816 = 173,816/x
3. Step 3: Cross multiply
   82,012x = 173,816 × 173,816
4. Step 4: Simplify right side
   82,012x = 30,212,001,856
5. Step 5: Solve for x
   x = 30,212,001,856/82,012
6. Step 6: Final answer
   x = 368,385.14