Finding the Third Proportional to 200,560 and 435,680

Step by Step Solution

1. Step 1: Write the proportion equation
   200,560 : 435,680 = 435,680 : x
2. Step 2: Convert to fraction form
   200,560/435,680 = 435,680/x
3. Step 3: Cross multiply
   200,560x = 435,680 × 435,680
4. Step 4: Simplify right side
   200,560x = 189,817,062,400
5. Step 5: Solve for x
   x = 189,817,062,400/200,560
6. Step 6: Final answer
   x = 946,435.29