Finding the Third Proportional to 65,584 and 140,724

Step by Step Solution

1. Step 1: Write the proportion equation
   65,584 : 140,724 = 140,724 : x
2. Step 2: Convert to fraction form
   65,584/140,724 = 140,724/x
3. Step 3: Cross multiply
   65,584x = 140,724 × 140,724
4. Step 4: Simplify right side
   65,584x = 19,803,244,176
5. Step 5: Solve for x
   x = 19,803,244,176/65,584
6. Step 6: Final answer
   x = 301,952.37