Finding the Third Proportional to 133,634 and 288,002

Step by Step Solution

1. Step 1: Write the proportion equation
   133,634 : 288,002 = 288,002 : x
2. Step 2: Convert to fraction form
   133,634/288,002 = 288,002/x
3. Step 3: Cross multiply
   133,634x = 288,002 × 288,002
4. Step 4: Simplify right side
   133,634x = 82,945,152,004
5. Step 5: Solve for x
   x = 82,945,152,004/133,634
6. Step 6: Final answer
   x = 620,688.99