Finding the Third Proportional to 109,208 and 164,581

Step by Step Solution

1. Step 1: Write the proportion equation
   109,208 : 164,581 = 164,581 : x
2. Step 2: Convert to fraction form
   109,208/164,581 = 164,581/x
3. Step 3: Cross multiply
   109,208x = 164,581 × 164,581
4. Step 4: Simplify right side
   109,208x = 27,086,905,561
5. Step 5: Solve for x
   x = 27,086,905,561/109,208
6. Step 6: Final answer
   x = 248,030.41