Finding the Third Proportional to 99,856 and 213,344

Step by Step Solution

1. Step 1: Write the proportion equation
   99,856 : 213,344 = 213,344 : x
2. Step 2: Convert to fraction form
   99,856/213,344 = 213,344/x
3. Step 3: Cross multiply
   99,856x = 213,344 × 213,344
4. Step 4: Simplify right side
   99,856x = 45,515,662,336
5. Step 5: Solve for x
   x = 45,515,662,336/99,856
6. Step 6: Final answer
   x = 455,812.99