Finding the Third Proportional to 65,025 and 139,749

Step by Step Solution

1. Step 1: Write the proportion equation
   65,025 : 139,749 = 139,749 : x
2. Step 2: Convert to fraction form
   65,025/139,749 = 139,749/x
3. Step 3: Cross multiply
   65,025x = 139,749 × 139,749
4. Step 4: Simplify right side
   65,025x = 19,529,783,001
5. Step 5: Solve for x
   x = 19,529,783,001/65,025
6. Step 6: Final answer
   x = 300,342.68