Finding the Third Proportional to 103,645 and 140,022

Step by Step Solution

1. Step 1: Write the proportion equation
   103,645 : 140,022 = 140,022 : x
2. Step 2: Convert to fraction form
   103,645/140,022 = 140,022/x
3. Step 3: Cross multiply
   103,645x = 140,022 × 140,022
4. Step 4: Simplify right side
   103,645x = 19,606,160,484
5. Step 5: Solve for x
   x = 19,606,160,484/103,645
6. Step 6: Final answer
   x = 189,166.49