Finding the Third Proportional to 109,224 and 164,836.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,224 : 164,836.50 = 164,836.50 : x
2. Step 2: Convert to fraction form
   109,224/164,836.50 = 164,836.50/x
3. Step 3: Cross multiply
   109,224x = 164,836.50 × 164,836.50
4. Step 4: Simplify right side
   109,224x = 27,171,071,732.25
5. Step 5: Solve for x
   x = 27,171,071,732.25/109,224
6. Step 6: Final answer
   x = 248,764.66