Finding the Third Proportional to 100,614 and 141,018

Step by Step Solution

1. Step 1: Write the proportion equation
   100,614 : 141,018 = 141,018 : x
2. Step 2: Convert to fraction form
   100,614/141,018 = 141,018/x
3. Step 3: Cross multiply
   100,614x = 141,018 × 141,018
4. Step 4: Simplify right side
   100,614x = 19,886,076,324
5. Step 5: Solve for x
   x = 19,886,076,324/100,614
6. Step 6: Final answer
   x = 197,647.21