Finding the Third Proportional to 142,406 and 191,697

Step by Step Solution

1. Step 1: Write the proportion equation
   142,406 : 191,697 = 191,697 : x
2. Step 2: Convert to fraction form
   142,406/191,697 = 191,697/x
3. Step 3: Cross multiply
   142,406x = 191,697 × 191,697
4. Step 4: Simplify right side
   142,406x = 36,747,739,809
5. Step 5: Solve for x
   x = 36,747,739,809/142,406
6. Step 6: Final answer
   x = 258,049.10