Finding the Third Proportional to 171,738 and 376,002

Step by Step Solution

1. Step 1: Write the proportion equation
   171,738 : 376,002 = 376,002 : x
2. Step 2: Convert to fraction form
   171,738/376,002 = 376,002/x
3. Step 3: Cross multiply
   171,738x = 376,002 × 376,002
4. Step 4: Simplify right side
   171,738x = 141,377,504,004
5. Step 5: Solve for x
   x = 141,377,504,004/171,738
6. Step 6: Final answer
   x = 823,216.20