Finding the Third Proportional to 500,823 and 1,097,145

Step by Step Solution

1. Step 1: Write the proportion equation
   500,823 : 1,097,145 = 1,097,145 : x
2. Step 2: Convert to fraction form
   500,823/1,097,145 = 1,097,145/x
3. Step 3: Cross multiply
   500,823x = 1,097,145 × 1,097,145
4. Step 4: Simplify right side
   500,823x = 1,203,727,151,025
5. Step 5: Solve for x
   x = 1,203,727,151,025/500,823
6. Step 6: Final answer
   x = 2,403,498.14