Finding the Third Proportional to 174,042 and 380,040

Step by Step Solution

1. Step 1: Write the proportion equation
   174,042 : 380,040 = 380,040 : x
2. Step 2: Convert to fraction form
   174,042/380,040 = 380,040/x
3. Step 3: Cross multiply
   174,042x = 380,040 × 380,040
4. Step 4: Simplify right side
   174,042x = 144,430,401,600
5. Step 5: Solve for x
   x = 144,430,401,600/174,042
6. Step 6: Final answer
   x = 829,859.47