Finding the Third Proportional to 171,978 and 260,563.50

Step by Step Solution

1. Step 1: Write the proportion equation
   171,978 : 260,563.50 = 260,563.50 : x
2. Step 2: Convert to fraction form
   171,978/260,563.50 = 260,563.50/x
3. Step 3: Cross multiply
   171,978x = 260,563.50 × 260,563.50
4. Step 4: Simplify right side
   171,978x = 67,893,337,532.25
5. Step 5: Solve for x
   x = 67,893,337,532.25/171,978
6. Step 6: Final answer
   x = 394,779.20