Finding the Third Proportional to 85,852 and 187,832

Step by Step Solution

1. Step 1: Write the proportion equation
   85,852 : 187,832 = 187,832 : x
2. Step 2: Convert to fraction form
   85,852/187,832 = 187,832/x
3. Step 3: Cross multiply
   85,852x = 187,832 × 187,832
4. Step 4: Simplify right side
   85,852x = 35,280,860,224
5. Step 5: Solve for x
   x = 35,280,860,224/85,852
6. Step 6: Final answer
   x = 410,949.78