Finding the Third Proportional to 65,885 and 141,778

Step by Step Solution

1. Step 1: Write the proportion equation
   65,885 : 141,778 = 141,778 : x
2. Step 2: Convert to fraction form
   65,885/141,778 = 141,778/x
3. Step 3: Cross multiply
   65,885x = 141,778 × 141,778
4. Step 4: Simplify right side
   65,885x = 20,101,001,284
5. Step 5: Solve for x
   x = 20,101,001,284/65,885
6. Step 6: Final answer
   x = 305,092.23