Finding the Third Proportional to 80,820.50 and 175,465

Step by Step Solution

1. Step 1: Write the proportion equation
   80,820.50 : 175,465 = 175,465 : x
2. Step 2: Convert to fraction form
   80,820.50/175,465 = 175,465/x
3. Step 3: Cross multiply
   80,820.50x = 175,465 × 175,465
4. Step 4: Simplify right side
   80,820.50x = 30,787,966,225
5. Step 5: Solve for x
   x = 30,787,966,225/80,820.50
6. Step 6: Final answer
   x = 380,942.54