Finding the Third Proportional to 222,924 and 345,564

Step by Step Solution

1. Step 1: Write the proportion equation
   222,924 : 345,564 = 345,564 : x
2. Step 2: Convert to fraction form
   222,924/345,564 = 345,564/x
3. Step 3: Cross multiply
   222,924x = 345,564 × 345,564
4. Step 4: Simplify right side
   222,924x = 119,414,478,096
5. Step 5: Solve for x
   x = 119,414,478,096/222,924
6. Step 6: Final answer
   x = 535,673.49