Finding the Third Proportional to 65,724 and 143,460

Step by Step Solution

1. Step 1: Write the proportion equation
   65,724 : 143,460 = 143,460 : x
2. Step 2: Convert to fraction form
   65,724/143,460 = 143,460/x
3. Step 3: Cross multiply
   65,724x = 143,460 × 143,460
4. Step 4: Simplify right side
   65,724x = 20,580,771,600
5. Step 5: Solve for x
   x = 20,580,771,600/65,724
6. Step 6: Final answer
   x = 313,139.36