Finding the Third Proportional to 200,008 and 435,088

Step by Step Solution

1. Step 1: Write the proportion equation
   200,008 : 435,088 = 435,088 : x
2. Step 2: Convert to fraction form
   200,008/435,088 = 435,088/x
3. Step 3: Cross multiply
   200,008x = 435,088 × 435,088
4. Step 4: Simplify right side
   200,008x = 189,301,567,744
5. Step 5: Solve for x
   x = 189,301,567,744/200,008
6. Step 6: Final answer
   x = 946,469.98