Finding the Third Proportional to 42,714 and 102,018

Step by Step Solution

1. Step 1: Write the proportion equation
   42,714 : 102,018 = 102,018 : x
2. Step 2: Convert to fraction form
   42,714/102,018 = 102,018/x
3. Step 3: Cross multiply
   42,714x = 102,018 × 102,018
4. Step 4: Simplify right side
   42,714x = 10,407,672,324
5. Step 5: Solve for x
   x = 10,407,672,324/42,714
6. Step 6: Final answer
   x = 243,659.51