Finding the Third Proportional to 65,382 and 141,600

Step by Step Solution

1. Step 1: Write the proportion equation
   65,382 : 141,600 = 141,600 : x
2. Step 2: Convert to fraction form
   65,382/141,600 = 141,600/x
3. Step 3: Cross multiply
   65,382x = 141,600 × 141,600
4. Step 4: Simplify right side
   65,382x = 20,050,560,000
5. Step 5: Solve for x
   x = 20,050,560,000/65,382
6. Step 6: Final answer
   x = 306,667.89