Finding the Third Proportional to 80,922 and 179,527.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,922 : 179,527.50 = 179,527.50 : x
2. Step 2: Convert to fraction form
   80,922/179,527.50 = 179,527.50/x
3. Step 3: Cross multiply
   80,922x = 179,527.50 × 179,527.50
4. Step 4: Simplify right side
   80,922x = 32,230,123,256.25
5. Step 5: Solve for x
   x = 32,230,123,256.25/80,922
6. Step 6: Final answer
   x = 398,286.29