Finding the Third Proportional to 99,914 and 209,066

Step by Step Solution

1. Step 1: Write the proportion equation
   99,914 : 209,066 = 209,066 : x
2. Step 2: Convert to fraction form
   99,914/209,066 = 209,066/x
3. Step 3: Cross multiply
   99,914x = 209,066 × 209,066
4. Step 4: Simplify right side
   99,914x = 43,708,592,356
5. Step 5: Solve for x
   x = 43,708,592,356/99,914
6. Step 6: Final answer
   x = 437,462.14