Finding the Third Proportional to 827,009.50 and 1,780,731.50

Step by Step Solution

1. Step 1: Write the proportion equation
   827,009.50 : 1,780,731.50 = 1,780,731.50 : x
2. Step 2: Convert to fraction form
   827,009.50/1,780,731.50 = 1,780,731.50/x
3. Step 3: Cross multiply
   827,009.50x = 1,780,731.50 × 1,780,731.50
4. Step 4: Simplify right side
   827,009.50x = 3,171,004,675,092.25
5. Step 5: Solve for x
   x = 3,171,004,675,092.25/827,009.50
6. Step 6: Final answer
   x = 3,834,302.60