Finding the Third Proportional to 201,420 and 282,352.50

Step by Step Solution

1. Step 1: Write the proportion equation
   201,420 : 282,352.50 = 282,352.50 : x
2. Step 2: Convert to fraction form
   201,420/282,352.50 = 282,352.50/x
3. Step 3: Cross multiply
   201,420x = 282,352.50 × 282,352.50
4. Step 4: Simplify right side
   201,420x = 79,722,934,256.25
5. Step 5: Solve for x
   x = 79,722,934,256.25/201,420
6. Step 6: Final answer
   x = 395,804.46