Finding the Third Proportional to 524,772 and 824,998.50

Step by Step Solution

1. Step 1: Write the proportion equation
   524,772 : 824,998.50 = 824,998.50 : x
2. Step 2: Convert to fraction form
   524,772/824,998.50 = 824,998.50/x
3. Step 3: Cross multiply
   524,772x = 824,998.50 × 824,998.50
4. Step 4: Simplify right side
   524,772x = 680,622,525,002.25
5. Step 5: Solve for x
   x = 680,622,525,002.25/524,772
6. Step 6: Final answer
   x = 1,296,987.12