Finding the Third Proportional to 165,376 and 262,830

Step by Step Solution

1. Step 1: Write the proportion equation
   165,376 : 262,830 = 262,830 : x
2. Step 2: Convert to fraction form
   165,376/262,830 = 262,830/x
3. Step 3: Cross multiply
   165,376x = 262,830 × 262,830
4. Step 4: Simplify right side
   165,376x = 69,079,608,900
5. Step 5: Solve for x
   x = 69,079,608,900/165,376
6. Step 6: Final answer
   x = 417,712.42