Finding the Third Proportional to 64,338 and 139,410

Step by Step Solution

1. Step 1: Write the proportion equation
   64,338 : 139,410 = 139,410 : x
2. Step 2: Convert to fraction form
   64,338/139,410 = 139,410/x
3. Step 3: Cross multiply
   64,338x = 139,410 × 139,410
4. Step 4: Simplify right side
   64,338x = 19,435,148,100
5. Step 5: Solve for x
   x = 19,435,148,100/64,338
6. Step 6: Final answer
   x = 302,078.84