Finding the Third Proportional to 113,592 and 171,980

Step by Step Solution

1. Step 1: Write the proportion equation
   113,592 : 171,980 = 171,980 : x
2. Step 2: Convert to fraction form
   113,592/171,980 = 171,980/x
3. Step 3: Cross multiply
   113,592x = 171,980 × 171,980
4. Step 4: Simplify right side
   113,592x = 29,577,120,400
5. Step 5: Solve for x
   x = 29,577,120,400/113,592
6. Step 6: Final answer
   x = 260,380.31