Finding the Third Proportional to 80,244 and 171,598.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,244 : 171,598.50 = 171,598.50 : x
2. Step 2: Convert to fraction form
   80,244/171,598.50 = 171,598.50/x
3. Step 3: Cross multiply
   80,244x = 171,598.50 × 171,598.50
4. Step 4: Simplify right side
   80,244x = 29,446,045,202.25
5. Step 5: Solve for x
   x = 29,446,045,202.25/80,244
6. Step 6: Final answer
   x = 366,956.35