Finding the Third Proportional to 101,001 and 213,522

Step by Step Solution

1. Step 1: Write the proportion equation
   101,001 : 213,522 = 213,522 : x
2. Step 2: Convert to fraction form
   101,001/213,522 = 213,522/x
3. Step 3: Cross multiply
   101,001x = 213,522 × 213,522
4. Step 4: Simplify right side
   101,001x = 45,591,644,484
5. Step 5: Solve for x
   x = 45,591,644,484/101,001
6. Step 6: Final answer
   x = 451,397.95