Finding the Third Proportional to 109,214 and 164,824

Step by Step Solution

1. Step 1: Write the proportion equation
   109,214 : 164,824 = 164,824 : x
2. Step 2: Convert to fraction form
   109,214/164,824 = 164,824/x
3. Step 3: Cross multiply
   109,214x = 164,824 × 164,824
4. Step 4: Simplify right side
   109,214x = 27,166,950,976
5. Step 5: Solve for x
   x = 27,166,950,976/109,214
6. Step 6: Final answer
   x = 248,749.71