Finding the Third Proportional to 200,736 and 288,528

Step by Step Solution

1. Step 1: Write the proportion equation
   200,736 : 288,528 = 288,528 : x
2. Step 2: Convert to fraction form
   200,736/288,528 = 288,528/x
3. Step 3: Cross multiply
   200,736x = 288,528 × 288,528
4. Step 4: Simplify right side
   200,736x = 83,248,406,784
5. Step 5: Solve for x
   x = 83,248,406,784/200,736
6. Step 6: Final answer
   x = 414,715.88