Finding the Third Proportional to 826,899.50 and 1,780,485.50

Step by Step Solution

1. Step 1: Write the proportion equation
   826,899.50 : 1,780,485.50 = 1,780,485.50 : x
2. Step 2: Convert to fraction form
   826,899.50/1,780,485.50 = 1,780,485.50/x
3. Step 3: Cross multiply
   826,899.50x = 1,780,485.50 × 1,780,485.50
4. Step 4: Simplify right side
   826,899.50x = 3,170,128,615,710.25
5. Step 5: Solve for x
   x = 3,170,128,615,710.25/826,899.50
6. Step 6: Final answer
   x = 3,833,753.21