Finding the Third Proportional to 109,238 and 164,627

Step by Step Solution

1. Step 1: Write the proportion equation
   109,238 : 164,627 = 164,627 : x
2. Step 2: Convert to fraction form
   109,238/164,627 = 164,627/x
3. Step 3: Cross multiply
   109,238x = 164,627 × 164,627
4. Step 4: Simplify right side
   109,238x = 27,102,049,129
5. Step 5: Solve for x
   x = 27,102,049,129/109,238
6. Step 6: Final answer
   x = 248,100.93