Finding the Third Proportional to 99,916 and 214,004

Step by Step Solution

1. Step 1: Write the proportion equation
   99,916 : 214,004 = 214,004 : x
2. Step 2: Convert to fraction form
   99,916/214,004 = 214,004/x
3. Step 3: Cross multiply
   99,916x = 214,004 × 214,004
4. Step 4: Simplify right side
   99,916x = 45,797,712,016
5. Step 5: Solve for x
   x = 45,797,712,016/99,916
6. Step 6: Final answer
   x = 458,362.14