Finding the Third Proportional to 83,784 and 173,400

Step by Step Solution

1. Step 1: Write the proportion equation
   83,784 : 173,400 = 173,400 : x
2. Step 2: Convert to fraction form
   83,784/173,400 = 173,400/x
3. Step 3: Cross multiply
   83,784x = 173,400 × 173,400
4. Step 4: Simplify right side
   83,784x = 30,067,560,000
5. Step 5: Solve for x
   x = 30,067,560,000/83,784
6. Step 6: Final answer
   x = 358,869.95