Finding the Third Proportional to 99,689 and 142,189

Step by Step Solution

1. Step 1: Write the proportion equation
   99,689 : 142,189 = 142,189 : x
2. Step 2: Convert to fraction form
   99,689/142,189 = 142,189/x
3. Step 3: Cross multiply
   99,689x = 142,189 × 142,189
4. Step 4: Simplify right side
   99,689x = 20,217,711,721
5. Step 5: Solve for x
   x = 20,217,711,721/99,689
6. Step 6: Final answer
   x = 202,807.85