Finding the Third Proportional to 172,924 and 354,384

Step by Step Solution

1. Step 1: Write the proportion equation
   172,924 : 354,384 = 354,384 : x
2. Step 2: Convert to fraction form
   172,924/354,384 = 354,384/x
3. Step 3: Cross multiply
   172,924x = 354,384 × 354,384
4. Step 4: Simplify right side
   172,924x = 125,588,019,456
5. Step 5: Solve for x
   x = 125,588,019,456/172,924
6. Step 6: Final answer
   x = 726,261.36