Finding the Third Proportional to 69,876 and 111,456

Step by Step Solution

1. Step 1: Write the proportion equation
   69,876 : 111,456 = 111,456 : x
2. Step 2: Convert to fraction form
   69,876/111,456 = 111,456/x
3. Step 3: Cross multiply
   69,876x = 111,456 × 111,456
4. Step 4: Simplify right side
   69,876x = 12,422,439,936
5. Step 5: Solve for x
   x = 12,422,439,936/69,876
6. Step 6: Final answer
   x = 177,778.35