Finding the Third Proportional to 103,681 and 222,522

Step by Step Solution

1. Step 1: Write the proportion equation
   103,681 : 222,522 = 222,522 : x
2. Step 2: Convert to fraction form
   103,681/222,522 = 222,522/x
3. Step 3: Cross multiply
   103,681x = 222,522 × 222,522
4. Step 4: Simplify right side
   103,681x = 49,516,040,484
5. Step 5: Solve for x
   x = 49,516,040,484/103,681
6. Step 6: Final answer
   x = 477,580.66