Finding the Third Proportional to 382,731 and 823,963.50

Step by Step Solution

1. Step 1: Write the proportion equation
   382,731 : 823,963.50 = 823,963.50 : x
2. Step 2: Convert to fraction form
   382,731/823,963.50 = 823,963.50/x
3. Step 3: Cross multiply
   382,731x = 823,963.50 × 823,963.50
4. Step 4: Simplify right side
   382,731x = 678,915,849,332.25
5. Step 5: Solve for x
   x = 678,915,849,332.25/382,731
6. Step 6: Final answer
   x = 1,773,872.12