Finding the Third Proportional to 174,087 and 380,978

Step by Step Solution

1. Step 1: Write the proportion equation
   174,087 : 380,978 = 380,978 : x
2. Step 2: Convert to fraction form
   174,087/380,978 = 380,978/x
3. Step 3: Cross multiply
   174,087x = 380,978 × 380,978
4. Step 4: Simplify right side
   174,087x = 145,144,236,484
5. Step 5: Solve for x
   x = 145,144,236,484/174,087
6. Step 6: Final answer
   x = 833,745.41