Finding the Third Proportional to 100,986 and 141,597

Step by Step Solution

1. Step 1: Write the proportion equation
   100,986 : 141,597 = 141,597 : x
2. Step 2: Convert to fraction form
   100,986/141,597 = 141,597/x
3. Step 3: Cross multiply
   100,986x = 141,597 × 141,597
4. Step 4: Simplify right side
   100,986x = 20,049,710,409
5. Step 5: Solve for x
   x = 20,049,710,409/100,986
6. Step 6: Final answer
   x = 198,539.50