Finding the Third Proportional to 109,444 and 164,788

Step by Step Solution

1. Step 1: Write the proportion equation
   109,444 : 164,788 = 164,788 : x
2. Step 2: Convert to fraction form
   109,444/164,788 = 164,788/x
3. Step 3: Cross multiply
   109,444x = 164,788 × 164,788
4. Step 4: Simplify right side
   109,444x = 27,155,084,944
5. Step 5: Solve for x
   x = 27,155,084,944/109,444
6. Step 6: Final answer
   x = 248,118.53