Finding the Third Proportional to 169,570 and 365,384

Step by Step Solution

1. Step 1: Write the proportion equation
   169,570 : 365,384 = 365,384 : x
2. Step 2: Convert to fraction form
   169,570/365,384 = 365,384/x
3. Step 3: Cross multiply
   169,570x = 365,384 × 365,384
4. Step 4: Simplify right side
   169,570x = 133,505,467,456
5. Step 5: Solve for x
   x = 133,505,467,456/169,570
6. Step 6: Final answer
   x = 787,317.73