Finding the Third Proportional to 171,826 and 262,842

Step by Step Solution

1. Step 1: Write the proportion equation
   171,826 : 262,842 = 262,842 : x
2. Step 2: Convert to fraction form
   171,826/262,842 = 262,842/x
3. Step 3: Cross multiply
   171,826x = 262,842 × 262,842
4. Step 4: Simplify right side
   171,826x = 69,085,916,964
5. Step 5: Solve for x
   x = 69,085,916,964/171,826
6. Step 6: Final answer
   x = 402,069.05