Finding the Third Proportional to 200,565 and 440,498.25

Step by Step Solution

1. Step 1: Write the proportion equation
   200,565 : 440,498.25 = 440,498.25 : x
2. Step 2: Convert to fraction form
   200,565/440,498.25 = 440,498.25/x
3. Step 3: Cross multiply
   200,565x = 440,498.25 × 440,498.25
4. Step 4: Simplify right side
   200,565x = 194,038,708,253.06
5. Step 5: Solve for x
   x = 194,038,708,253.06/200,565
6. Step 6: Final answer
   x = 967,460.47