Finding the Third Proportional to 105,854.50 and 164,614

Step by Step Solution

1. Step 1: Write the proportion equation
   105,854.50 : 164,614 = 164,614 : x
2. Step 2: Convert to fraction form
   105,854.50/164,614 = 164,614/x
3. Step 3: Cross multiply
   105,854.50x = 164,614 × 164,614
4. Step 4: Simplify right side
   105,854.50x = 27,097,768,996
5. Step 5: Solve for x
   x = 27,097,768,996/105,854.50
6. Step 6: Final answer
   x = 255,990.71