Finding the Third Proportional to 99,694 and 142,195

Step by Step Solution

1. Step 1: Write the proportion equation
   99,694 : 142,195 = 142,195 : x
2. Step 2: Convert to fraction form
   99,694/142,195 = 142,195/x
3. Step 3: Cross multiply
   99,694x = 142,195 × 142,195
4. Step 4: Simplify right side
   99,694x = 20,219,418,025
5. Step 5: Solve for x
   x = 20,219,418,025/99,694
6. Step 6: Final answer
   x = 202,814.79