Finding the Third Proportional to 109,272 and 164,912

Step by Step Solution

1. Step 1: Write the proportion equation
   109,272 : 164,912 = 164,912 : x
2. Step 2: Convert to fraction form
   109,272/164,912 = 164,912/x
3. Step 3: Cross multiply
   109,272x = 164,912 × 164,912
4. Step 4: Simplify right side
   109,272x = 27,195,967,744
5. Step 5: Solve for x
   x = 27,195,967,744/109,272
6. Step 6: Final answer
   x = 248,883.22