Finding the Third Proportional to 64,996 and 139,664

Step by Step Solution

1. Step 1: Write the proportion equation
   64,996 : 139,664 = 139,664 : x
2. Step 2: Convert to fraction form
   64,996/139,664 = 139,664/x
3. Step 3: Cross multiply
   64,996x = 139,664 × 139,664
4. Step 4: Simplify right side
   64,996x = 19,506,032,896
5. Step 5: Solve for x
   x = 19,506,032,896/64,996
6. Step 6: Final answer
   x = 300,111.28