Finding the Third Proportional to 65,514 and 139,608

Step by Step Solution

1. Step 1: Write the proportion equation
   65,514 : 139,608 = 139,608 : x
2. Step 2: Convert to fraction form
   65,514/139,608 = 139,608/x
3. Step 3: Cross multiply
   65,514x = 139,608 × 139,608
4. Step 4: Simplify right side
   65,514x = 19,490,393,664
5. Step 5: Solve for x
   x = 19,490,393,664/65,514
6. Step 6: Final answer
   x = 297,499.67