Finding the Third Proportional to 47,384 and 99,684

Step by Step Solution

1. Step 1: Write the proportion equation
   47,384 : 99,684 = 99,684 : x
2. Step 2: Convert to fraction form
   47,384/99,684 = 99,684/x
3. Step 3: Cross multiply
   47,384x = 99,684 × 99,684
4. Step 4: Simplify right side
   47,384x = 9,936,899,856
5. Step 5: Solve for x
   x = 9,936,899,856/47,384
6. Step 6: Final answer
   x = 209,710.03