Finding the Third Proportional to 65,761 and 143,823

Step by Step Solution

1. Step 1: Write the proportion equation
   65,761 : 143,823 = 143,823 : x
2. Step 2: Convert to fraction form
   65,761/143,823 = 143,823/x
3. Step 3: Cross multiply
   65,761x = 143,823 × 143,823
4. Step 4: Simplify right side
   65,761x = 20,685,055,329
5. Step 5: Solve for x
   x = 20,685,055,329/65,761
6. Step 6: Final answer
   x = 314,548.98