Finding the Third Proportional to 287,406 and 435,084

Step by Step Solution

1. Step 1: Write the proportion equation
   287,406 : 435,084 = 435,084 : x
2. Step 2: Convert to fraction form
   287,406/435,084 = 435,084/x
3. Step 3: Cross multiply
   287,406x = 435,084 × 435,084
4. Step 4: Simplify right side
   287,406x = 189,298,087,056
5. Step 5: Solve for x
   x = 189,298,087,056/287,406
6. Step 6: Final answer
   x = 658,643.48