Finding the Third Proportional to 547,003.50 and 827,795.50

Step by Step Solution

1. Step 1: Write the proportion equation
   547,003.50 : 827,795.50 = 827,795.50 : x
2. Step 2: Convert to fraction form
   547,003.50/827,795.50 = 827,795.50/x
3. Step 3: Cross multiply
   547,003.50x = 827,795.50 × 827,795.50
4. Step 4: Simplify right side
   547,003.50x = 685,245,389,820.25
5. Step 5: Solve for x
   x = 685,245,389,820.25/547,003.50
6. Step 6: Final answer
   x = 1,252,725.79