Finding the Third Proportional to 165,280 and 262,688

Step by Step Solution

1. Step 1: Write the proportion equation
   165,280 : 262,688 = 262,688 : x
2. Step 2: Convert to fraction form
   165,280/262,688 = 262,688/x
3. Step 3: Cross multiply
   165,280x = 262,688 × 262,688
4. Step 4: Simplify right side
   165,280x = 69,004,985,344
5. Step 5: Solve for x
   x = 69,004,985,344/165,280
6. Step 6: Final answer
   x = 417,503.54