Finding the Third Proportional to 262,748 and 407,616

Step by Step Solution

1. Step 1: Write the proportion equation
   262,748 : 407,616 = 407,616 : x
2. Step 2: Convert to fraction form
   262,748/407,616 = 407,616/x
3. Step 3: Cross multiply
   262,748x = 407,616 × 407,616
4. Step 4: Simplify right side
   262,748x = 166,150,803,456
5. Step 5: Solve for x
   x = 166,150,803,456/262,748
6. Step 6: Final answer
   x = 632,358.01