Finding the Third Proportional to 103,633 and 223,123

Step by Step Solution

1. Step 1: Write the proportion equation
   103,633 : 223,123 = 223,123 : x
2. Step 2: Convert to fraction form
   103,633/223,123 = 223,123/x
3. Step 3: Cross multiply
   103,633x = 223,123 × 223,123
4. Step 4: Simplify right side
   103,633x = 49,783,873,129
5. Step 5: Solve for x
   x = 49,783,873,129/103,633
6. Step 6: Final answer
   x = 480,386.30