Finding the Third Proportional to 80,121 and 172,014

Step by Step Solution

1. Step 1: Write the proportion equation
   80,121 : 172,014 = 172,014 : x
2. Step 2: Convert to fraction form
   80,121/172,014 = 172,014/x
3. Step 3: Cross multiply
   80,121x = 172,014 × 172,014
4. Step 4: Simplify right side
   80,121x = 29,588,816,196
5. Step 5: Solve for x
   x = 29,588,816,196/80,121
6. Step 6: Final answer
   x = 369,301.63