Finding the Third Proportional to 105,904 and 164,047

Step by Step Solution

1. Step 1: Write the proportion equation
   105,904 : 164,047 = 164,047 : x
2. Step 2: Convert to fraction form
   105,904/164,047 = 164,047/x
3. Step 3: Cross multiply
   105,904x = 164,047 × 164,047
4. Step 4: Simplify right side
   105,904x = 26,911,418,209
5. Step 5: Solve for x
   x = 26,911,418,209/105,904
6. Step 6: Final answer
   x = 254,111.44