Finding the Third Proportional to 200,564 and 435,688

Step by Step Solution

1. Step 1: Write the proportion equation
   200,564 : 435,688 = 435,688 : x
2. Step 2: Convert to fraction form
   200,564/435,688 = 435,688/x
3. Step 3: Cross multiply
   200,564x = 435,688 × 435,688
4. Step 4: Simplify right side
   200,564x = 189,824,033,344
5. Step 5: Solve for x
   x = 189,824,033,344/200,564
6. Step 6: Final answer
   x = 946,451.17