Finding the Third Proportional to 114,540 and 164,970

Step by Step Solution

1. Step 1: Write the proportion equation
   114,540 : 164,970 = 164,970 : x
2. Step 2: Convert to fraction form
   114,540/164,970 = 164,970/x
3. Step 3: Cross multiply
   114,540x = 164,970 × 164,970
4. Step 4: Simplify right side
   114,540x = 27,215,100,900
5. Step 5: Solve for x
   x = 27,215,100,900/114,540
6. Step 6: Final answer
   x = 237,603.47