Finding the Third Proportional to 99,914 and 214,000

Step by Step Solution

1. Step 1: Write the proportion equation
   99,914 : 214,000 = 214,000 : x
2. Step 2: Convert to fraction form
   99,914/214,000 = 214,000/x
3. Step 3: Cross multiply
   99,914x = 214,000 × 214,000
4. Step 4: Simplify right side
   99,914x = 45,796,000,000
5. Step 5: Solve for x
   x = 45,796,000,000/99,914
6. Step 6: Final answer
   x = 458,354.18