Finding the Third Proportional to 69,910 and 111,198

Step by Step Solution

1. Step 1: Write the proportion equation
   69,910 : 111,198 = 111,198 : x
2. Step 2: Convert to fraction form
   69,910/111,198 = 111,198/x
3. Step 3: Cross multiply
   69,910x = 111,198 × 111,198
4. Step 4: Simplify right side
   69,910x = 12,364,995,204
5. Step 5: Solve for x
   x = 12,364,995,204/69,910
6. Step 6: Final answer
   x = 176,870.19