Finding the Third Proportional to 117,180 and 173,583

Step by Step Solution

1. Step 1: Write the proportion equation
   117,180 : 173,583 = 173,583 : x
2. Step 2: Convert to fraction form
   117,180/173,583 = 173,583/x
3. Step 3: Cross multiply
   117,180x = 173,583 × 173,583
4. Step 4: Simplify right side
   117,180x = 30,131,057,889
5. Step 5: Solve for x
   x = 30,131,057,889/117,180
6. Step 6: Final answer
   x = 257,134.82