Finding the Third Proportional to 78,198 and 167,472

Step by Step Solution

1. Step 1: Write the proportion equation
   78,198 : 167,472 = 167,472 : x
2. Step 2: Convert to fraction form
   78,198/167,472 = 167,472/x
3. Step 3: Cross multiply
   78,198x = 167,472 × 167,472
4. Step 4: Simplify right side
   78,198x = 28,046,870,784
5. Step 5: Solve for x
   x = 28,046,870,784/78,198
6. Step 6: Final answer
   x = 358,664.81