Finding the Third Proportional to 191,802 and 283,984.50

Step by Step Solution

1. Step 1: Write the proportion equation
   191,802 : 283,984.50 = 283,984.50 : x
2. Step 2: Convert to fraction form
   191,802/283,984.50 = 283,984.50/x
3. Step 3: Cross multiply
   191,802x = 283,984.50 × 283,984.50
4. Step 4: Simplify right side
   191,802x = 80,647,196,240.25
5. Step 5: Solve for x
   x = 80,647,196,240.25/191,802
6. Step 6: Final answer
   x = 420,471.09