Finding the Third Proportional to 201,351 and 282,190.50

Step by Step Solution

1. Step 1: Write the proportion equation
   201,351 : 282,190.50 = 282,190.50 : x
2. Step 2: Convert to fraction form
   201,351/282,190.50 = 282,190.50/x
3. Step 3: Cross multiply
   201,351x = 282,190.50 × 282,190.50
4. Step 4: Simplify right side
   201,351x = 79,631,478,290.25
5. Step 5: Solve for x
   x = 79,631,478,290.25/201,351
6. Step 6: Final answer
   x = 395,485.88