Finding the Third Proportional to 384,363 and 825,583.50

Step by Step Solution

1. Step 1: Write the proportion equation
   384,363 : 825,583.50 = 825,583.50 : x
2. Step 2: Convert to fraction form
   384,363/825,583.50 = 825,583.50/x
3. Step 3: Cross multiply
   384,363x = 825,583.50 × 825,583.50
4. Step 4: Simplify right side
   384,363x = 681,588,115,472.25
5. Step 5: Solve for x
   x = 681,588,115,472.25/384,363
6. Step 6: Final answer
   x = 1,773,292.73