Finding the Third Proportional to 196,514 and 461,926

Step by Step Solution

1. Step 1: Write the proportion equation
   196,514 : 461,926 = 461,926 : x
2. Step 2: Convert to fraction form
   196,514/461,926 = 461,926/x
3. Step 3: Cross multiply
   196,514x = 461,926 × 461,926
4. Step 4: Simplify right side
   196,514x = 213,375,629,476
5. Step 5: Solve for x
   x = 213,375,629,476/196,514
6. Step 6: Final answer
   x = 1,085,803.71