Finding the Third Proportional to 269,958 and 429,049

Step by Step Solution

1. Step 1: Write the proportion equation
   269,958 : 429,049 = 429,049 : x
2. Step 2: Convert to fraction form
   269,958/429,049 = 429,049/x
3. Step 3: Cross multiply
   269,958x = 429,049 × 429,049
4. Step 4: Simplify right side
   269,958x = 184,083,044,401
5. Step 5: Solve for x
   x = 184,083,044,401/269,958
6. Step 6: Final answer
   x = 681,895.13