Finding the Third Proportional to 105,924 and 165,136.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,924 : 165,136.50 = 165,136.50 : x
2. Step 2: Convert to fraction form
   105,924/165,136.50 = 165,136.50/x
3. Step 3: Cross multiply
   105,924x = 165,136.50 × 165,136.50
4. Step 4: Simplify right side
   105,924x = 27,270,063,632.25
5. Step 5: Solve for x
   x = 27,270,063,632.25/105,924
6. Step 6: Final answer
   x = 257,449.34