Finding the Third Proportional to 65,354 and 141,770

Step by Step Solution

1. Step 1: Write the proportion equation
   65,354 : 141,770 = 141,770 : x
2. Step 2: Convert to fraction form
   65,354/141,770 = 141,770/x
3. Step 3: Cross multiply
   65,354x = 141,770 × 141,770
4. Step 4: Simplify right side
   65,354x = 20,098,732,900
5. Step 5: Solve for x
   x = 20,098,732,900/65,354
6. Step 6: Final answer
   x = 307,536.38