Finding the Third Proportional to 111,971 and 173,365

Step by Step Solution

1. Step 1: Write the proportion equation
   111,971 : 173,365 = 173,365 : x
2. Step 2: Convert to fraction form
   111,971/173,365 = 173,365/x
3. Step 3: Cross multiply
   111,971x = 173,365 × 173,365
4. Step 4: Simplify right side
   111,971x = 30,055,423,225
5. Step 5: Solve for x
   x = 30,055,423,225/111,971
6. Step 6: Final answer
   x = 268,421.50