Finding the Third Proportional to 202,592 and 469,016

Step by Step Solution

1. Step 1: Write the proportion equation
   202,592 : 469,016 = 469,016 : x
2. Step 2: Convert to fraction form
   202,592/469,016 = 469,016/x
3. Step 3: Cross multiply
   202,592x = 469,016 × 469,016
4. Step 4: Simplify right side
   202,592x = 219,976,008,256
5. Step 5: Solve for x
   x = 219,976,008,256/202,592
6. Step 6: Final answer
   x = 1,085,807.97