Finding the Third Proportional to 95,714 and 142,638

Step by Step Solution

1. Step 1: Write the proportion equation
   95,714 : 142,638 = 142,638 : x
2. Step 2: Convert to fraction form
   95,714/142,638 = 142,638/x
3. Step 3: Cross multiply
   95,714x = 142,638 × 142,638
4. Step 4: Simplify right side
   95,714x = 20,345,599,044
5. Step 5: Solve for x
   x = 20,345,599,044/95,714
6. Step 6: Final answer
   x = 212,566.59