Finding the Third Proportional to 171,405 and 263,749.50

Step by Step Solution

1. Step 1: Write the proportion equation
   171,405 : 263,749.50 = 263,749.50 : x
2. Step 2: Convert to fraction form
   171,405/263,749.50 = 263,749.50/x
3. Step 3: Cross multiply
   171,405x = 263,749.50 × 263,749.50
4. Step 4: Simplify right side
   171,405x = 69,563,798,750.25
5. Step 5: Solve for x
   x = 69,563,798,750.25/171,405
6. Step 6: Final answer
   x = 405,844.63