Finding the Third Proportional to 89,208 and 193,824

Step by Step Solution

1. Step 1: Write the proportion equation
   89,208 : 193,824 = 193,824 : x
2. Step 2: Convert to fraction form
   89,208/193,824 = 193,824/x
3. Step 3: Cross multiply
   89,208x = 193,824 × 193,824
4. Step 4: Simplify right side
   89,208x = 37,567,742,976
5. Step 5: Solve for x
   x = 37,567,742,976/89,208
6. Step 6: Final answer
   x = 421,125.27