Finding the Third Proportional to 174,123 and 381,054.38

Step by Step Solution

1. Step 1: Write the proportion equation
   174,123 : 381,054.38 = 381,054.38 : x
2. Step 2: Convert to fraction form
   174,123/381,054.38 = 381,054.38/x
3. Step 3: Cross multiply
   174,123x = 381,054.38 × 381,054.38
4. Step 4: Simplify right side
   174,123x = 145,202,436,706.64
5. Step 5: Solve for x
   x = 145,202,436,706.64/174,123
6. Step 6: Final answer
   x = 833,907.28