Finding the Third Proportional to 78,732 and 167,976

Step by Step Solution

1. Step 1: Write the proportion equation
   78,732 : 167,976 = 167,976 : x
2. Step 2: Convert to fraction form
   78,732/167,976 = 167,976/x
3. Step 3: Cross multiply
   78,732x = 167,976 × 167,976
4. Step 4: Simplify right side
   78,732x = 28,215,936,576
5. Step 5: Solve for x
   x = 28,215,936,576/78,732
6. Step 6: Final answer
   x = 358,379.52