Finding the Third Proportional to 99,899 and 140,526

Step by Step Solution

1. Step 1: Write the proportion equation
   99,899 : 140,526 = 140,526 : x
2. Step 2: Convert to fraction form
   99,899/140,526 = 140,526/x
3. Step 3: Cross multiply
   99,899x = 140,526 × 140,526
4. Step 4: Simplify right side
   99,899x = 19,747,556,676
5. Step 5: Solve for x
   x = 19,747,556,676/99,899
6. Step 6: Final answer
   x = 197,675.22