Finding the Third Proportional to 65,724 and 137,724

Step by Step Solution

1. Step 1: Write the proportion equation
   65,724 : 137,724 = 137,724 : x
2. Step 2: Convert to fraction form
   65,724/137,724 = 137,724/x
3. Step 3: Cross multiply
   65,724x = 137,724 × 137,724
4. Step 4: Simplify right side
   65,724x = 18,967,900,176
5. Step 5: Solve for x
   x = 18,967,900,176/65,724
6. Step 6: Final answer
   x = 288,599.30