Finding the Third Proportional to 222,980 and 345,510

Step by Step Solution

1. Step 1: Write the proportion equation
   222,980 : 345,510 = 345,510 : x
2. Step 2: Convert to fraction form
   222,980/345,510 = 345,510/x
3. Step 3: Cross multiply
   222,980x = 345,510 × 345,510
4. Step 4: Simplify right side
   222,980x = 119,377,160,100
5. Step 5: Solve for x
   x = 119,377,160,100/222,980
6. Step 6: Final answer
   x = 535,371.60