Finding the Third Proportional to 105,907 and 165,113

Step by Step Solution

1. Step 1: Write the proportion equation
   105,907 : 165,113 = 165,113 : x
2. Step 2: Convert to fraction form
   105,907/165,113 = 165,113/x
3. Step 3: Cross multiply
   105,907x = 165,113 × 165,113
4. Step 4: Simplify right side
   105,907x = 27,262,302,769
5. Step 5: Solve for x
   x = 27,262,302,769/105,907
6. Step 6: Final answer
   x = 257,417.38