Finding the Third Proportional to 188,144 and 288,210

Step by Step Solution

1. Step 1: Write the proportion equation
   188,144 : 288,210 = 288,210 : x
2. Step 2: Convert to fraction form
   188,144/288,210 = 288,210/x
3. Step 3: Cross multiply
   188,144x = 288,210 × 288,210
4. Step 4: Simplify right side
   188,144x = 83,065,004,100
5. Step 5: Solve for x
   x = 83,065,004,100/188,144
6. Step 6: Final answer
   x = 441,496.96