Finding the Third Proportional to 111,938 and 173,577

Step by Step Solution

1. Step 1: Write the proportion equation
   111,938 : 173,577 = 173,577 : x
2. Step 2: Convert to fraction form
   111,938/173,577 = 173,577/x
3. Step 3: Cross multiply
   111,938x = 173,577 × 173,577
4. Step 4: Simplify right side
   111,938x = 30,128,974,929
5. Step 5: Solve for x
   x = 30,128,974,929/111,938
6. Step 6: Final answer
   x = 269,157.70