Finding the Third Proportional to 85,034 and 185,378

Step by Step Solution

1. Step 1: Write the proportion equation
   85,034 : 185,378 = 185,378 : x
2. Step 2: Convert to fraction form
   85,034/185,378 = 185,378/x
3. Step 3: Cross multiply
   85,034x = 185,378 × 185,378
4. Step 4: Simplify right side
   85,034x = 34,365,002,884
5. Step 5: Solve for x
   x = 34,365,002,884/85,034
6. Step 6: Final answer
   x = 404,132.50