Finding the Third Proportional to 65,724 and 139,650.75

Step by Step Solution

1. Step 1: Write the proportion equation
   65,724 : 139,650.75 = 139,650.75 : x
2. Step 2: Convert to fraction form
   65,724/139,650.75 = 139,650.75/x
3. Step 3: Cross multiply
   65,724x = 139,650.75 × 139,650.75
4. Step 4: Simplify right side
   65,724x = 19,502,331,975.56
5. Step 5: Solve for x
   x = 19,502,331,975.56/65,724
6. Step 6: Final answer
   x = 296,730.75