Finding the Third Proportional to 172,044 and 253,006

Step by Step Solution

1. Step 1: Write the proportion equation
   172,044 : 253,006 = 253,006 : x
2. Step 2: Convert to fraction form
   172,044/253,006 = 253,006/x
3. Step 3: Cross multiply
   172,044x = 253,006 × 253,006
4. Step 4: Simplify right side
   172,044x = 64,012,036,036
5. Step 5: Solve for x
   x = 64,012,036,036/172,044
6. Step 6: Final answer
   x = 372,067.82