Finding the Third Proportional to 200,342 and 423,040

Step by Step Solution

1. Step 1: Write the proportion equation
   200,342 : 423,040 = 423,040 : x
2. Step 2: Convert to fraction form
   200,342/423,040 = 423,040/x
3. Step 3: Cross multiply
   200,342x = 423,040 × 423,040
4. Step 4: Simplify right side
   200,342x = 178,962,841,600
5. Step 5: Solve for x
   x = 178,962,841,600/200,342
6. Step 6: Final answer
   x = 893,286.69