Finding the Third Proportional to 140,176 and 188,868

Step by Step Solution

1. Step 1: Write the proportion equation
   140,176 : 188,868 = 188,868 : x
2. Step 2: Convert to fraction form
   140,176/188,868 = 188,868/x
3. Step 3: Cross multiply
   140,176x = 188,868 × 188,868
4. Step 4: Simplify right side
   140,176x = 35,671,121,424
5. Step 5: Solve for x
   x = 35,671,121,424/140,176
6. Step 6: Final answer
   x = 254,473.81