Finding the Third Proportional to 65,666 and 137,812

Step by Step Solution

1. Step 1: Write the proportion equation
   65,666 : 137,812 = 137,812 : x
2. Step 2: Convert to fraction form
   65,666/137,812 = 137,812/x
3. Step 3: Cross multiply
   65,666x = 137,812 × 137,812
4. Step 4: Simplify right side
   65,666x = 18,992,147,344
5. Step 5: Solve for x
   x = 18,992,147,344/65,666
6. Step 6: Final answer
   x = 289,223.45