Finding the Third Proportional to 172,046 and 253,009

Step by Step Solution

1. Step 1: Write the proportion equation
   172,046 : 253,009 = 253,009 : x
2. Step 2: Convert to fraction form
   172,046/253,009 = 253,009/x
3. Step 3: Cross multiply
   172,046x = 253,009 × 253,009
4. Step 4: Simplify right side
   172,046x = 64,013,554,081
5. Step 5: Solve for x
   x = 64,013,554,081/172,046
6. Step 6: Final answer
   x = 372,072.32