Finding the Third Proportional to 411,978.50 and 902,504.50

Step by Step Solution

1. Step 1: Write the proportion equation
   411,978.50 : 902,504.50 = 902,504.50 : x
2. Step 2: Convert to fraction form
   411,978.50/902,504.50 = 902,504.50/x
3. Step 3: Cross multiply
   411,978.50x = 902,504.50 × 902,504.50
4. Step 4: Simplify right side
   411,978.50x = 814,514,372,520.25
5. Step 5: Solve for x
   x = 814,514,372,520.25/411,978.50
6. Step 6: Final answer
   x = 1,977,079.81