Finding the Third Proportional to 100,012 and 140,662

Step by Step Solution

1. Step 1: Write the proportion equation
   100,012 : 140,662 = 140,662 : x
2. Step 2: Convert to fraction form
   100,012/140,662 = 140,662/x
3. Step 3: Cross multiply
   100,012x = 140,662 × 140,662
4. Step 4: Simplify right side
   100,012x = 19,785,798,244
5. Step 5: Solve for x
   x = 19,785,798,244/100,012
6. Step 6: Final answer
   x = 197,834.24