Finding the Third Proportional to 100,714.50 and 141,183

Step by Step Solution

1. Step 1: Write the proportion equation
   100,714.50 : 141,183 = 141,183 : x
2. Step 2: Convert to fraction form
   100,714.50/141,183 = 141,183/x
3. Step 3: Cross multiply
   100,714.50x = 141,183 × 141,183
4. Step 4: Simplify right side
   100,714.50x = 19,932,639,489
5. Step 5: Solve for x
   x = 19,932,639,489/100,714.50
6. Step 6: Final answer
   x = 197,912.31