Finding the Third Proportional to 238,144 and 356,960

Step by Step Solution

1. Step 1: Write the proportion equation
   238,144 : 356,960 = 356,960 : x
2. Step 2: Convert to fraction form
   238,144/356,960 = 356,960/x
3. Step 3: Cross multiply
   238,144x = 356,960 × 356,960
4. Step 4: Simplify right side
   238,144x = 127,420,441,600
5. Step 5: Solve for x
   x = 127,420,441,600/238,144
6. Step 6: Final answer
   x = 535,056.28