Finding the Third Proportional to 345,636 and 741,384

Step by Step Solution

1. Step 1: Write the proportion equation
   345,636 : 741,384 = 741,384 : x
2. Step 2: Convert to fraction form
   345,636/741,384 = 741,384/x
3. Step 3: Cross multiply
   345,636x = 741,384 × 741,384
4. Step 4: Simplify right side
   345,636x = 549,650,235,456
5. Step 5: Solve for x
   x = 549,650,235,456/345,636
6. Step 6: Final answer
   x = 1,590,257.48