Finding the Third Proportional to 81,784 and 167,008

Step by Step Solution

1. Step 1: Write the proportion equation
   81,784 : 167,008 = 167,008 : x
2. Step 2: Convert to fraction form
   81,784/167,008 = 167,008/x
3. Step 3: Cross multiply
   81,784x = 167,008 × 167,008
4. Step 4: Simplify right side
   81,784x = 27,891,672,064
5. Step 5: Solve for x
   x = 27,891,672,064/81,784
6. Step 6: Final answer
   x = 341,040.69