Finding the Third Proportional to 65,014 and 139,892

Step by Step Solution

1. Step 1: Write the proportion equation
   65,014 : 139,892 = 139,892 : x
2. Step 2: Convert to fraction form
   65,014/139,892 = 139,892/x
3. Step 3: Cross multiply
   65,014x = 139,892 × 139,892
4. Step 4: Simplify right side
   65,014x = 19,569,771,664
5. Step 5: Solve for x
   x = 19,569,771,664/65,014
6. Step 6: Final answer
   x = 301,008.58