Finding the Third Proportional to 80,178 and 174,019.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,178 : 174,019.50 = 174,019.50 : x
2. Step 2: Convert to fraction form
   80,178/174,019.50 = 174,019.50/x
3. Step 3: Cross multiply
   80,178x = 174,019.50 × 174,019.50
4. Step 4: Simplify right side
   80,178x = 30,282,786,380.25
5. Step 5: Solve for x
   x = 30,282,786,380.25/80,178
6. Step 6: Final answer
   x = 377,694.46