Finding the Third Proportional to 65,566 and 141,500

Step by Step Solution

1. Step 1: Write the proportion equation
   65,566 : 141,500 = 141,500 : x
2. Step 2: Convert to fraction form
   65,566/141,500 = 141,500/x
3. Step 3: Cross multiply
   65,566x = 141,500 × 141,500
4. Step 4: Simplify right side
   65,566x = 20,022,250,000
5. Step 5: Solve for x
   x = 20,022,250,000/65,566
6. Step 6: Final answer
   x = 305,375.50