Finding the Third Proportional to 100,022.50 and 140,678

Step by Step Solution

1. Step 1: Write the proportion equation
   100,022.50 : 140,678 = 140,678 : x
2. Step 2: Convert to fraction form
   100,022.50/140,678 = 140,678/x
3. Step 3: Cross multiply
   100,022.50x = 140,678 × 140,678
4. Step 4: Simplify right side
   100,022.50x = 19,790,299,684
5. Step 5: Solve for x
   x = 19,790,299,684/100,022.50
6. Step 6: Final answer
   x = 197,858.48