Finding the Third Proportional to 164,838 and 223,920

Step by Step Solution

1. Step 1: Write the proportion equation
   164,838 : 223,920 = 223,920 : x
2. Step 2: Convert to fraction form
   164,838/223,920 = 223,920/x
3. Step 3: Cross multiply
   164,838x = 223,920 × 223,920
4. Step 4: Simplify right side
   164,838x = 50,140,166,400
5. Step 5: Solve for x
   x = 50,140,166,400/164,838
6. Step 6: Final answer
   x = 304,178.44