Finding the Third Proportional to 827,012 and 1,780,736.50

Step by Step Solution

1. Step 1: Write the proportion equation
   827,012 : 1,780,736.50 = 1,780,736.50 : x
2. Step 2: Convert to fraction form
   827,012/1,780,736.50 = 1,780,736.50/x
3. Step 3: Cross multiply
   827,012x = 1,780,736.50 × 1,780,736.50
4. Step 4: Simplify right side
   827,012x = 3,171,022,482,432.25
5. Step 5: Solve for x
   x = 3,171,022,482,432.25/827,012
6. Step 6: Final answer
   x = 3,834,312.54