Finding the Third Proportional to 826,064.25 and 1,286,212.50

Step by Step Solution

1. Step 1: Write the proportion equation
   826,064.25 : 1,286,212.50 = 1,286,212.50 : x
2. Step 2: Convert to fraction form
   826,064.25/1,286,212.50 = 1,286,212.50/x
3. Step 3: Cross multiply
   826,064.25x = 1,286,212.50 × 1,286,212.50
4. Step 4: Simplify right side
   826,064.25x = 1,654,342,595,156.25
5. Step 5: Solve for x
   x = 1,654,342,595,156.25/826,064.25
6. Step 6: Final answer
   x = 2,002,680.29