Finding the Third Proportional to 69,868 and 111,690

Step by Step Solution

1. Step 1: Write the proportion equation
   69,868 : 111,690 = 111,690 : x
2. Step 2: Convert to fraction form
   69,868/111,690 = 111,690/x
3. Step 3: Cross multiply
   69,868x = 111,690 × 111,690
4. Step 4: Simplify right side
   69,868x = 12,474,656,100
5. Step 5: Solve for x
   x = 12,474,656,100/69,868
6. Step 6: Final answer
   x = 178,546.06