Finding the Third Proportional to 103,665 and 140,663

Step by Step Solution

1. Step 1: Write the proportion equation
   103,665 : 140,663 = 140,663 : x
2. Step 2: Convert to fraction form
   103,665/140,663 = 140,663/x
3. Step 3: Cross multiply
   103,665x = 140,663 × 140,663
4. Step 4: Simplify right side
   103,665x = 19,786,079,569
5. Step 5: Solve for x
   x = 19,786,079,569/103,665
6. Step 6: Final answer
   x = 190,865.57