Finding the Third Proportional to 821,227.50 and 1,755,947.25

Step by Step Solution

1. Step 1: Write the proportion equation
   821,227.50 : 1,755,947.25 = 1,755,947.25 : x
2. Step 2: Convert to fraction form
   821,227.50/1,755,947.25 = 1,755,947.25/x
3. Step 3: Cross multiply
   821,227.50x = 1,755,947.25 × 1,755,947.25
4. Step 4: Simplify right side
   821,227.50x = 3,083,350,744,782.56
5. Step 5: Solve for x
   x = 3,083,350,744,782.56/821,227.50
6. Step 6: Final answer
   x = 3,754,563.44