Finding the Third Proportional to 80,158 and 172,384

Step by Step Solution

1. Step 1: Write the proportion equation
   80,158 : 172,384 = 172,384 : x
2. Step 2: Convert to fraction form
   80,158/172,384 = 172,384/x
3. Step 3: Cross multiply
   80,158x = 172,384 × 172,384
4. Step 4: Simplify right side
   80,158x = 29,716,243,456
5. Step 5: Solve for x
   x = 29,716,243,456/80,158
6. Step 6: Final answer
   x = 370,720.87