Finding the Third Proportional to 244,659 and 378,123

Step by Step Solution

1. Step 1: Write the proportion equation
   244,659 : 378,123 = 378,123 : x
2. Step 2: Convert to fraction form
   244,659/378,123 = 378,123/x
3. Step 3: Cross multiply
   244,659x = 378,123 × 378,123
4. Step 4: Simplify right side
   244,659x = 142,977,003,129
5. Step 5: Solve for x
   x = 142,977,003,129/244,659
6. Step 6: Final answer
   x = 584,392.98