Finding the Third Proportional to 269,161 and 566,222

Step by Step Solution

1. Step 1: Write the proportion equation
   269,161 : 566,222 = 566,222 : x
2. Step 2: Convert to fraction form
   269,161/566,222 = 566,222/x
3. Step 3: Cross multiply
   269,161x = 566,222 × 566,222
4. Step 4: Simplify right side
   269,161x = 320,607,353,284
5. Step 5: Solve for x
   x = 320,607,353,284/269,161
6. Step 6: Final answer
   x = 1,191,135.99