Finding the Third Proportional to 64,744 and 139,892

Step by Step Solution

1. Step 1: Write the proportion equation
   64,744 : 139,892 = 139,892 : x
2. Step 2: Convert to fraction form
   64,744/139,892 = 139,892/x
3. Step 3: Cross multiply
   64,744x = 139,892 × 139,892
4. Step 4: Simplify right side
   64,744x = 19,569,771,664
5. Step 5: Solve for x
   x = 19,569,771,664/64,744
6. Step 6: Final answer
   x = 302,263.86