Finding the Third Proportional to 115,978 and 173,693

Step by Step Solution

1. Step 1: Write the proportion equation
   115,978 : 173,693 = 173,693 : x
2. Step 2: Convert to fraction form
   115,978/173,693 = 173,693/x
3. Step 3: Cross multiply
   115,978x = 173,693 × 173,693
4. Step 4: Simplify right side
   115,978x = 30,169,258,249
5. Step 5: Solve for x
   x = 30,169,258,249/115,978
6. Step 6: Final answer
   x = 260,129.15