Finding the Third Proportional to 115,690 and 174,992

Step by Step Solution

1. Step 1: Write the proportion equation
   115,690 : 174,992 = 174,992 : x
2. Step 2: Convert to fraction form
   115,690/174,992 = 174,992/x
3. Step 3: Cross multiply
   115,690x = 174,992 × 174,992
4. Step 4: Simplify right side
   115,690x = 30,622,200,064
5. Step 5: Solve for x
   x = 30,622,200,064/115,690
6. Step 6: Final answer
   x = 264,691.85