Finding the Third Proportional to 150,201 and 321,111

Step by Step Solution

1. Step 1: Write the proportion equation
   150,201 : 321,111 = 321,111 : x
2. Step 2: Convert to fraction form
   150,201/321,111 = 321,111/x
3. Step 3: Cross multiply
   150,201x = 321,111 × 321,111
4. Step 4: Simplify right side
   150,201x = 103,112,274,321
5. Step 5: Solve for x
   x = 103,112,274,321/150,201
6. Step 6: Final answer
   x = 686,495.26