Finding the Third Proportional to 564,696 and 828,211.50

Step by Step Solution

1. Step 1: Write the proportion equation
   564,696 : 828,211.50 = 828,211.50 : x
2. Step 2: Convert to fraction form
   564,696/828,211.50 = 828,211.50/x
3. Step 3: Cross multiply
   564,696x = 828,211.50 × 828,211.50
4. Step 4: Simplify right side
   564,696x = 685,934,288,732.25
5. Step 5: Solve for x
   x = 685,934,288,732.25/564,696
6. Step 6: Final answer
   x = 1,214,696.56