Finding the Third Proportional to 109,238 and 164,858.25

Step by Step Solution

1. Step 1: Write the proportion equation
   109,238 : 164,858.25 = 164,858.25 : x
2. Step 2: Convert to fraction form
   109,238/164,858.25 = 164,858.25/x
3. Step 3: Cross multiply
   109,238x = 164,858.25 × 164,858.25
4. Step 4: Simplify right side
   109,238x = 27,178,242,593.06
5. Step 5: Solve for x
   x = 27,178,242,593.06/109,238
6. Step 6: Final answer
   x = 248,798.43