Finding the Third Proportional to 109,854 and 164,783.25

Step by Step Solution

1. Step 1: Write the proportion equation
   109,854 : 164,783.25 = 164,783.25 : x
2. Step 2: Convert to fraction form
   109,854/164,783.25 = 164,783.25/x
3. Step 3: Cross multiply
   109,854x = 164,783.25 × 164,783.25
4. Step 4: Simplify right side
   109,854x = 27,153,519,480.56
5. Step 5: Solve for x
   x = 27,153,519,480.56/109,854
6. Step 6: Final answer
   x = 247,178.25