Finding the Third Proportional to 113,600 and 171,992

Step by Step Solution

1. Step 1: Write the proportion equation
   113,600 : 171,992 = 171,992 : x
2. Step 2: Convert to fraction form
   113,600/171,992 = 171,992/x
3. Step 3: Cross multiply
   113,600x = 171,992 × 171,992
4. Step 4: Simplify right side
   113,600x = 29,581,248,064
5. Step 5: Solve for x
   x = 29,581,248,064/113,600
6. Step 6: Final answer
   x = 260,398.31