Finding the Third Proportional to 171,291 and 263,488.50

Step by Step Solution

1. Step 1: Write the proportion equation
   171,291 : 263,488.50 = 263,488.50 : x
2. Step 2: Convert to fraction form
   171,291/263,488.50 = 263,488.50/x
3. Step 3: Cross multiply
   171,291x = 263,488.50 × 263,488.50
4. Step 4: Simplify right side
   171,291x = 69,426,189,632.25
5. Step 5: Solve for x
   x = 69,426,189,632.25/171,291
6. Step 6: Final answer
   x = 405,311.37