Finding the Third Proportional to 174,022 and 380,002

Step by Step Solution

1. Step 1: Write the proportion equation
   174,022 : 380,002 = 380,002 : x
2. Step 2: Convert to fraction form
   174,022/380,002 = 380,002/x
3. Step 3: Cross multiply
   174,022x = 380,002 × 380,002
4. Step 4: Simplify right side
   174,022x = 144,401,520,004
5. Step 5: Solve for x
   x = 144,401,520,004/174,022
6. Step 6: Final answer
   x = 829,788.88