Finding the Third Proportional to 65,408 and 141,269

Step by Step Solution

1. Step 1: Write the proportion equation
   65,408 : 141,269 = 141,269 : x
2. Step 2: Convert to fraction form
   65,408/141,269 = 141,269/x
3. Step 3: Cross multiply
   65,408x = 141,269 × 141,269
4. Step 4: Simplify right side
   65,408x = 19,956,930,361
5. Step 5: Solve for x
   x = 19,956,930,361/65,408
6. Step 6: Final answer
   x = 305,114.52