Finding the Third Proportional to 369,192 and 567,180

Step by Step Solution

1. Step 1: Write the proportion equation
   369,192 : 567,180 = 567,180 : x
2. Step 2: Convert to fraction form
   369,192/567,180 = 567,180/x
3. Step 3: Cross multiply
   369,192x = 567,180 × 567,180
4. Step 4: Simplify right side
   369,192x = 321,693,152,400
5. Step 5: Solve for x
   x = 321,693,152,400/369,192
6. Step 6: Final answer
   x = 871,343.78