Finding the Third Proportional to 103,914 and 222,043.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,914 : 222,043.50 = 222,043.50 : x
2. Step 2: Convert to fraction form
   103,914/222,043.50 = 222,043.50/x
3. Step 3: Cross multiply
   103,914x = 222,043.50 × 222,043.50
4. Step 4: Simplify right side
   103,914x = 49,303,315,892.25
5. Step 5: Solve for x
   x = 49,303,315,892.25/103,914
6. Step 6: Final answer
   x = 474,462.69