Finding the Third Proportional to 100,022 and 140,670

Step by Step Solution

1. Step 1: Write the proportion equation
   100,022 : 140,670 = 140,670 : x
2. Step 2: Convert to fraction form
   100,022/140,670 = 140,670/x
3. Step 3: Cross multiply
   100,022x = 140,670 × 140,670
4. Step 4: Simplify right side
   100,022x = 19,788,048,900
5. Step 5: Solve for x
   x = 19,788,048,900/100,022
6. Step 6: Final answer
   x = 197,836.96