Finding the Third Proportional to 145,003 and 321,111

Step by Step Solution

1. Step 1: Write the proportion equation
   145,003 : 321,111 = 321,111 : x
2. Step 2: Convert to fraction form
   145,003/321,111 = 321,111/x
3. Step 3: Cross multiply
   145,003x = 321,111 × 321,111
4. Step 4: Simplify right side
   145,003x = 103,112,274,321
5. Step 5: Solve for x
   x = 103,112,274,321/145,003
6. Step 6: Final answer
   x = 711,104.42