Finding the Third Proportional to 65,661 and 143,205

Step by Step Solution

1. Step 1: Write the proportion equation
   65,661 : 143,205 = 143,205 : x
2. Step 2: Convert to fraction form
   65,661/143,205 = 143,205/x
3. Step 3: Cross multiply
   65,661x = 143,205 × 143,205
4. Step 4: Simplify right side
   65,661x = 20,507,672,025
5. Step 5: Solve for x
   x = 20,507,672,025/65,661
6. Step 6: Final answer
   x = 312,326.53