Finding the Third Proportional to 65,340 and 143,133

Step by Step Solution

1. Step 1: Write the proportion equation
   65,340 : 143,133 = 143,133 : x
2. Step 2: Convert to fraction form
   65,340/143,133 = 143,133/x
3. Step 3: Cross multiply
   65,340x = 143,133 × 143,133
4. Step 4: Simplify right side
   65,340x = 20,487,055,689
5. Step 5: Solve for x
   x = 20,487,055,689/65,340
6. Step 6: Final answer
   x = 313,545.39