Finding the Third Proportional to 113,588 and 171,974

Step by Step Solution

1. Step 1: Write the proportion equation
   113,588 : 171,974 = 171,974 : x
2. Step 2: Convert to fraction form
   113,588/171,974 = 171,974/x
3. Step 3: Cross multiply
   113,588x = 171,974 × 171,974
4. Step 4: Simplify right side
   113,588x = 29,575,056,676
5. Step 5: Solve for x
   x = 29,575,056,676/113,588
6. Step 6: Final answer
   x = 260,371.31