Finding the Third Proportional to 165,770 and 262,892

Step by Step Solution

1. Step 1: Write the proportion equation
   165,770 : 262,892 = 262,892 : x
2. Step 2: Convert to fraction form
   165,770/262,892 = 262,892/x
3. Step 3: Cross multiply
   165,770x = 262,892 × 262,892
4. Step 4: Simplify right side
   165,770x = 69,112,203,664
5. Step 5: Solve for x
   x = 69,112,203,664/165,770
6. Step 6: Final answer
   x = 416,916.23