Finding the Third Proportional to 165,620 and 262,362

Step by Step Solution

1. Step 1: Write the proportion equation
   165,620 : 262,362 = 262,362 : x
2. Step 2: Convert to fraction form
   165,620/262,362 = 262,362/x
3. Step 3: Cross multiply
   165,620x = 262,362 × 262,362
4. Step 4: Simplify right side
   165,620x = 68,833,819,044
5. Step 5: Solve for x
   x = 68,833,819,044/165,620
6. Step 6: Final answer
   x = 415,612.96