Finding the Third Proportional to 200,160 and 435,168

Step by Step Solution

1. Step 1: Write the proportion equation
   200,160 : 435,168 = 435,168 : x
2. Step 2: Convert to fraction form
   200,160/435,168 = 435,168/x
3. Step 3: Cross multiply
   200,160x = 435,168 × 435,168
4. Step 4: Simplify right side
   200,160x = 189,371,188,224
5. Step 5: Solve for x
   x = 189,371,188,224/200,160
6. Step 6: Final answer
   x = 946,099.06