Finding the Third Proportional to 109,231.50 and 164,618.25

Step by Step Solution

1. Step 1: Write the proportion equation
   109,231.50 : 164,618.25 = 164,618.25 : x
2. Step 2: Convert to fraction form
   109,231.50/164,618.25 = 164,618.25/x
3. Step 3: Cross multiply
   109,231.50x = 164,618.25 × 164,618.25
4. Step 4: Simplify right side
   109,231.50x = 27,099,168,233.06
5. Step 5: Solve for x
   x = 27,099,168,233.06/109,231.50
6. Step 6: Final answer
   x = 248,089.32