Finding the Third Proportional to 65,729 and 143,470

Step by Step Solution

1. Step 1: Write the proportion equation
   65,729 : 143,470 = 143,470 : x
2. Step 2: Convert to fraction form
   65,729/143,470 = 143,470/x
3. Step 3: Cross multiply
   65,729x = 143,470 × 143,470
4. Step 4: Simplify right side
   65,729x = 20,583,640,900
5. Step 5: Solve for x
   x = 20,583,640,900/65,729
6. Step 6: Final answer
   x = 313,159.20