Finding the Third Proportional to 172,789 and 270,470

Step by Step Solution

1. Step 1: Write the proportion equation
   172,789 : 270,470 = 270,470 : x
2. Step 2: Convert to fraction form
   172,789/270,470 = 270,470/x
3. Step 3: Cross multiply
   172,789x = 270,470 × 270,470
4. Step 4: Simplify right side
   172,789x = 73,154,020,900
5. Step 5: Solve for x
   x = 73,154,020,900/172,789
6. Step 6: Final answer
   x = 423,371.98