Finding the Third Proportional to 271,196 and 589,960

Step by Step Solution

1. Step 1: Write the proportion equation
   271,196 : 589,960 = 589,960 : x
2. Step 2: Convert to fraction form
   271,196/589,960 = 589,960/x
3. Step 3: Cross multiply
   271,196x = 589,960 × 589,960
4. Step 4: Simplify right side
   271,196x = 348,052,801,600
5. Step 5: Solve for x
   x = 348,052,801,600/271,196
6. Step 6: Final answer
   x = 1,283,399.47