Finding the Third Proportional to 260,365.50 and 541,462.50

Step by Step Solution

1. Step 1: Write the proportion equation
   260,365.50 : 541,462.50 = 541,462.50 : x
2. Step 2: Convert to fraction form
   260,365.50/541,462.50 = 541,462.50/x
3. Step 3: Cross multiply
   260,365.50x = 541,462.50 × 541,462.50
4. Step 4: Simplify right side
   260,365.50x = 293,181,638,906.25
5. Step 5: Solve for x
   x = 293,181,638,906.25/260,365.50
6. Step 6: Final answer
   x = 1,126,038.74