Finding the Third Proportional to 825,889.50 and 1,828,656

Step by Step Solution

1. Step 1: Write the proportion equation
   825,889.50 : 1,828,656 = 1,828,656 : x
2. Step 2: Convert to fraction form
   825,889.50/1,828,656 = 1,828,656/x
3. Step 3: Cross multiply
   825,889.50x = 1,828,656 × 1,828,656
4. Step 4: Simplify right side
   825,889.50x = 3,343,982,766,336
5. Step 5: Solve for x
   x = 3,343,982,766,336/825,889.50
6. Step 6: Final answer
   x = 4,048,946.94