Finding the Third Proportional to 113,584 and 171,968

Step by Step Solution

1. Step 1: Write the proportion equation
   113,584 : 171,968 = 171,968 : x
2. Step 2: Convert to fraction form
   113,584/171,968 = 171,968/x
3. Step 3: Cross multiply
   113,584x = 171,968 × 171,968
4. Step 4: Simplify right side
   113,584x = 29,572,993,024
5. Step 5: Solve for x
   x = 29,572,993,024/113,584
6. Step 6: Final answer
   x = 260,362.31