Finding the Third Proportional to 103,123 and 223,634

Step by Step Solution

1. Step 1: Write the proportion equation
   103,123 : 223,634 = 223,634 : x
2. Step 2: Convert to fraction form
   103,123/223,634 = 223,634/x
3. Step 3: Cross multiply
   103,123x = 223,634 × 223,634
4. Step 4: Simplify right side
   103,123x = 50,012,165,956
5. Step 5: Solve for x
   x = 50,012,165,956/103,123
6. Step 6: Final answer
   x = 484,975.86