Finding the Third Proportional to 405,420 and 570,271.50

Step by Step Solution

1. Step 1: Write the proportion equation
   405,420 : 570,271.50 = 570,271.50 : x
2. Step 2: Convert to fraction form
   405,420/570,271.50 = 570,271.50/x
3. Step 3: Cross multiply
   405,420x = 570,271.50 × 570,271.50
4. Step 4: Simplify right side
   405,420x = 325,209,583,712.25
5. Step 5: Solve for x
   x = 325,209,583,712.25/405,420
6. Step 6: Final answer
   x = 802,154.76