Finding the Third Proportional to 80,142 and 171,008

Step by Step Solution

1. Step 1: Write the proportion equation
   80,142 : 171,008 = 171,008 : x
2. Step 2: Convert to fraction form
   80,142/171,008 = 171,008/x
3. Step 3: Cross multiply
   80,142x = 171,008 × 171,008
4. Step 4: Simplify right side
   80,142x = 29,243,736,064
5. Step 5: Solve for x
   x = 29,243,736,064/80,142
6. Step 6: Final answer
   x = 364,899.01