Finding the Third Proportional to 233,576 and 356,196

Step by Step Solution

1. Step 1: Write the proportion equation
   233,576 : 356,196 = 356,196 : x
2. Step 2: Convert to fraction form
   233,576/356,196 = 356,196/x
3. Step 3: Cross multiply
   233,576x = 356,196 × 356,196
4. Step 4: Simplify right side
   233,576x = 126,875,590,416
5. Step 5: Solve for x
   x = 126,875,590,416/233,576
6. Step 6: Final answer
   x = 543,187.62