Finding the Third Proportional to 259,566 and 563,196

Step by Step Solution

1. Step 1: Write the proportion equation
   259,566 : 563,196 = 563,196 : x
2. Step 2: Convert to fraction form
   259,566/563,196 = 563,196/x
3. Step 3: Cross multiply
   259,566x = 563,196 × 563,196
4. Step 4: Simplify right side
   259,566x = 317,189,734,416
5. Step 5: Solve for x
   x = 317,189,734,416/259,566
6. Step 6: Final answer
   x = 1,222,000.32