Finding the Third Proportional to 65,409 and 141,271

Step by Step Solution

1. Step 1: Write the proportion equation
   65,409 : 141,271 = 141,271 : x
2. Step 2: Convert to fraction form
   65,409/141,271 = 141,271/x
3. Step 3: Cross multiply
   65,409x = 141,271 × 141,271
4. Step 4: Simplify right side
   65,409x = 19,957,495,441
5. Step 5: Solve for x
   x = 19,957,495,441/65,409
6. Step 6: Final answer
   x = 305,118.49