Finding the Third Proportional to 80,430 and 171,906

Step by Step Solution

1. Step 1: Write the proportion equation
   80,430 : 171,906 = 171,906 : x
2. Step 2: Convert to fraction form
   80,430/171,906 = 171,906/x
3. Step 3: Cross multiply
   80,430x = 171,906 × 171,906
4. Step 4: Simplify right side
   80,430x = 29,551,672,836
5. Step 5: Solve for x
   x = 29,551,672,836/80,430
6. Step 6: Final answer
   x = 367,421.02