Finding the Third Proportional to 109,210 and 164,584.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,210 : 164,584.50 = 164,584.50 : x
2. Step 2: Convert to fraction form
   109,210/164,584.50 = 164,584.50/x
3. Step 3: Cross multiply
   109,210x = 164,584.50 × 164,584.50
4. Step 4: Simplify right side
   109,210x = 27,088,057,640.25
5. Step 5: Solve for x
   x = 27,088,057,640.25/109,210
6. Step 6: Final answer
   x = 248,036.42