Finding the Third Proportional to 149,546 and 321,016

Step by Step Solution

1. Step 1: Write the proportion equation
   149,546 : 321,016 = 321,016 : x
2. Step 2: Convert to fraction form
   149,546/321,016 = 321,016/x
3. Step 3: Cross multiply
   149,546x = 321,016 × 321,016
4. Step 4: Simplify right side
   149,546x = 103,051,272,256
5. Step 5: Solve for x
   x = 103,051,272,256/149,546
6. Step 6: Final answer
   x = 689,094.14