Finding the Third Proportional to 171,738 and 262,704

Step by Step Solution

1. Step 1: Write the proportion equation
   171,738 : 262,704 = 262,704 : x
2. Step 2: Convert to fraction form
   171,738/262,704 = 262,704/x
3. Step 3: Cross multiply
   171,738x = 262,704 × 262,704
4. Step 4: Simplify right side
   171,738x = 69,013,391,616
5. Step 5: Solve for x
   x = 69,013,391,616/171,738
6. Step 6: Final answer
   x = 401,852.77