Finding the Third Proportional to 191,802 and 283,986

Step by Step Solution

1. Step 1: Write the proportion equation
   191,802 : 283,986 = 283,986 : x
2. Step 2: Convert to fraction form
   191,802/283,986 = 283,986/x
3. Step 3: Cross multiply
   191,802x = 283,986 × 283,986
4. Step 4: Simplify right side
   191,802x = 80,648,048,196
5. Step 5: Solve for x
   x = 80,648,048,196/191,802
6. Step 6: Final answer
   x = 420,475.53