Finding the Third Proportional to 287,760 and 435,654

Step by Step Solution

1. Step 1: Write the proportion equation
   287,760 : 435,654 = 435,654 : x
2. Step 2: Convert to fraction form
   287,760/435,654 = 435,654/x
3. Step 3: Cross multiply
   287,760x = 435,654 × 435,654
4. Step 4: Simplify right side
   287,760x = 189,794,407,716
5. Step 5: Solve for x
   x = 189,794,407,716/287,760
6. Step 6: Final answer
   x = 659,557.99