Finding the Third Proportional to 142,766 and 187,782

Step by Step Solution

1. Step 1: Write the proportion equation
   142,766 : 187,782 = 187,782 : x
2. Step 2: Convert to fraction form
   142,766/187,782 = 187,782/x
3. Step 3: Cross multiply
   142,766x = 187,782 × 187,782
4. Step 4: Simplify right side
   142,766x = 35,262,079,524
5. Step 5: Solve for x
   x = 35,262,079,524/142,766
6. Step 6: Final answer
   x = 246,992.14