Finding the Third Proportional to 251,638.88 and 381,123

Step by Step Solution

1. Step 1: Write the proportion equation
   251,638.88 : 381,123 = 381,123 : x
2. Step 2: Convert to fraction form
   251,638.88/381,123 = 381,123/x
3. Step 3: Cross multiply
   251,638.88x = 381,123 × 381,123
4. Step 4: Simplify right side
   251,638.88x = 145,254,741,129
5. Step 5: Solve for x
   x = 145,254,741,129/251,638.88
6. Step 6: Final answer
   x = 577,234.90