Finding the Third Proportional to 113,832 and 171,114

Step by Step Solution

1. Step 1: Write the proportion equation
   113,832 : 171,114 = 171,114 : x
2. Step 2: Convert to fraction form
   113,832/171,114 = 171,114/x
3. Step 3: Cross multiply
   113,832x = 171,114 × 171,114
4. Step 4: Simplify right side
   113,832x = 29,280,000,996
5. Step 5: Solve for x
   x = 29,280,000,996/113,832
6. Step 6: Final answer
   x = 257,221.18