Finding the Third Proportional to 501,376 and 823,046

Step by Step Solution

1. Step 1: Write the proportion equation
   501,376 : 823,046 = 823,046 : x
2. Step 2: Convert to fraction form
   501,376/823,046 = 823,046/x
3. Step 3: Cross multiply
   501,376x = 823,046 × 823,046
4. Step 4: Simplify right side
   501,376x = 677,404,718,116
5. Step 5: Solve for x
   x = 677,404,718,116/501,376
6. Step 6: Final answer
   x = 1,351,091.23