Finding the Third Proportional to 95,377 and 140,142

Step by Step Solution

1. Step 1: Write the proportion equation
   95,377 : 140,142 = 140,142 : x
2. Step 2: Convert to fraction form
   95,377/140,142 = 140,142/x
3. Step 3: Cross multiply
   95,377x = 140,142 × 140,142
4. Step 4: Simplify right side
   95,377x = 19,639,780,164
5. Step 5: Solve for x
   x = 19,639,780,164/95,377
6. Step 6: Final answer
   x = 205,917.36