Finding the Third Proportional to 100,686 and 141,140

Step by Step Solution

1. Step 1: Write the proportion equation
   100,686 : 141,140 = 141,140 : x
2. Step 2: Convert to fraction form
   100,686/141,140 = 141,140/x
3. Step 3: Cross multiply
   100,686x = 141,140 × 141,140
4. Step 4: Simplify right side
   100,686x = 19,920,499,600
5. Step 5: Solve for x
   x = 19,920,499,600/100,686
6. Step 6: Final answer
   x = 197,847.76