Finding the Third Proportional to 165,233 and 262,650

Step by Step Solution

1. Step 1: Write the proportion equation
   165,233 : 262,650 = 262,650 : x
2. Step 2: Convert to fraction form
   165,233/262,650 = 262,650/x
3. Step 3: Cross multiply
   165,233x = 262,650 × 262,650
4. Step 4: Simplify right side
   165,233x = 68,985,022,500
5. Step 5: Solve for x
   x = 68,985,022,500/165,233
6. Step 6: Final answer
   x = 417,501.48