Finding the Third Proportional to 99,913 and 213,997

Step by Step Solution

1. Step 1: Write the proportion equation
   99,913 : 213,997 = 213,997 : x
2. Step 2: Convert to fraction form
   99,913/213,997 = 213,997/x
3. Step 3: Cross multiply
   99,913x = 213,997 × 213,997
4. Step 4: Simplify right side
   99,913x = 45,794,716,009
5. Step 5: Solve for x
   x = 45,794,716,009/99,913
6. Step 6: Final answer
   x = 458,345.92