Finding the Third Proportional to 109,878 and 211,002

Step by Step Solution

1. Step 1: Write the proportion equation
   109,878 : 211,002 = 211,002 : x
2. Step 2: Convert to fraction form
   109,878/211,002 = 211,002/x
3. Step 3: Cross multiply
   109,878x = 211,002 × 211,002
4. Step 4: Simplify right side
   109,878x = 44,521,844,004
5. Step 5: Solve for x
   x = 44,521,844,004/109,878
6. Step 6: Final answer
   x = 405,193.43