Finding the Third Proportional to 79,984 and 173,216

Step by Step Solution

1. Step 1: Write the proportion equation
   79,984 : 173,216 = 173,216 : x
2. Step 2: Convert to fraction form
   79,984/173,216 = 173,216/x
3. Step 3: Cross multiply
   79,984x = 173,216 × 173,216
4. Step 4: Simplify right side
   79,984x = 30,003,782,656
5. Step 5: Solve for x
   x = 30,003,782,656/79,984
6. Step 6: Final answer
   x = 375,122.31