Finding the Third Proportional to 196,532 and 461,986

Step by Step Solution

1. Step 1: Write the proportion equation
   196,532 : 461,986 = 461,986 : x
2. Step 2: Convert to fraction form
   196,532/461,986 = 461,986/x
3. Step 3: Cross multiply
   196,532x = 461,986 × 461,986
4. Step 4: Simplify right side
   196,532x = 213,431,064,196
5. Step 5: Solve for x
   x = 213,431,064,196/196,532
6. Step 6: Final answer
   x = 1,085,986.32