Finding the Third Proportional to 174,142 and 379,995

Step by Step Solution

1. Step 1: Write the proportion equation
   174,142 : 379,995 = 379,995 : x
2. Step 2: Convert to fraction form
   174,142/379,995 = 379,995/x
3. Step 3: Cross multiply
   174,142x = 379,995 × 379,995
4. Step 4: Simplify right side
   174,142x = 144,396,200,025
5. Step 5: Solve for x
   x = 144,396,200,025/174,142
6. Step 6: Final answer
   x = 829,186.53