Finding the Third Proportional to 142,380 and 191,799

Step by Step Solution

1. Step 1: Write the proportion equation
   142,380 : 191,799 = 191,799 : x
2. Step 2: Convert to fraction form
   142,380/191,799 = 191,799/x
3. Step 3: Cross multiply
   142,380x = 191,799 × 191,799
4. Step 4: Simplify right side
   142,380x = 36,786,856,401
5. Step 5: Solve for x
   x = 36,786,856,401/142,380
6. Step 6: Final answer
   x = 258,370.95