Finding the Third Proportional to 105,264 and 167,329.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,264 : 167,329.50 = 167,329.50 : x
2. Step 2: Convert to fraction form
   105,264/167,329.50 = 167,329.50/x
3. Step 3: Cross multiply
   105,264x = 167,329.50 × 167,329.50
4. Step 4: Simplify right side
   105,264x = 27,999,161,570.25
5. Step 5: Solve for x
   x = 27,999,161,570.25/105,264
6. Step 6: Final answer
   x = 265,989.91