Finding the Third Proportional to 566,109 and 825,826.50

Step by Step Solution

1. Step 1: Write the proportion equation
   566,109 : 825,826.50 = 825,826.50 : x
2. Step 2: Convert to fraction form
   566,109/825,826.50 = 825,826.50/x
3. Step 3: Cross multiply
   566,109x = 825,826.50 × 825,826.50
4. Step 4: Simplify right side
   566,109x = 681,989,408,102.25
5. Step 5: Solve for x
   x = 681,989,408,102.25/566,109
6. Step 6: Final answer
   x = 1,204,696.28