Finding the Third Proportional to 80,956.50 and 171,777

Step by Step Solution

1. Step 1: Write the proportion equation
   80,956.50 : 171,777 = 171,777 : x
2. Step 2: Convert to fraction form
   80,956.50/171,777 = 171,777/x
3. Step 3: Cross multiply
   80,956.50x = 171,777 × 171,777
4. Step 4: Simplify right side
   80,956.50x = 29,507,337,729
5. Step 5: Solve for x
   x = 29,507,337,729/80,956.50
6. Step 6: Final answer
   x = 364,483.86