Finding the Third Proportional to 520,084 and 825,222

Step by Step Solution

1. Step 1: Write the proportion equation
   520,084 : 825,222 = 825,222 : x
2. Step 2: Convert to fraction form
   520,084/825,222 = 825,222/x
3. Step 3: Cross multiply
   520,084x = 825,222 × 825,222
4. Step 4: Simplify right side
   520,084x = 680,991,349,284
5. Step 5: Solve for x
   x = 680,991,349,284/520,084
6. Step 6: Final answer
   x = 1,309,387.23