Finding the Third Proportional to 105,927 and 165,141

Step by Step Solution

1. Step 1: Write the proportion equation
   105,927 : 165,141 = 165,141 : x
2. Step 2: Convert to fraction form
   105,927/165,141 = 165,141/x
3. Step 3: Cross multiply
   105,927x = 165,141 × 165,141
4. Step 4: Simplify right side
   105,927x = 27,271,549,881
5. Step 5: Solve for x
   x = 27,271,549,881/105,927
6. Step 6: Final answer
   x = 257,456.08