Finding the Third Proportional to 78,866 and 172,006

Step by Step Solution

1. Step 1: Write the proportion equation
   78,866 : 172,006 = 172,006 : x
2. Step 2: Convert to fraction form
   78,866/172,006 = 172,006/x
3. Step 3: Cross multiply
   78,866x = 172,006 × 172,006
4. Step 4: Simplify right side
   78,866x = 29,586,064,036
5. Step 5: Solve for x
   x = 29,586,064,036/78,866
6. Step 6: Final answer
   x = 375,143.46