Finding the Third Proportional to 200,558 and 435,697

Step by Step Solution

1. Step 1: Write the proportion equation
   200,558 : 435,697 = 435,697 : x
2. Step 2: Convert to fraction form
   200,558/435,697 = 435,697/x
3. Step 3: Cross multiply
   200,558x = 435,697 × 435,697
4. Step 4: Simplify right side
   200,558x = 189,831,875,809
5. Step 5: Solve for x
   x = 189,831,875,809/200,558
6. Step 6: Final answer
   x = 946,518.59