Finding the Third Proportional to 68,256 and 139,914

Step by Step Solution

1. Step 1: Write the proportion equation
   68,256 : 139,914 = 139,914 : x
2. Step 2: Convert to fraction form
   68,256/139,914 = 139,914/x
3. Step 3: Cross multiply
   68,256x = 139,914 × 139,914
4. Step 4: Simplify right side
   68,256x = 19,575,927,396
5. Step 5: Solve for x
   x = 19,575,927,396/68,256
6. Step 6: Final answer
   x = 286,801.56