Finding the Third Proportional to 109,745 and 164,563

Step by Step Solution

1. Step 1: Write the proportion equation
   109,745 : 164,563 = 164,563 : x
2. Step 2: Convert to fraction form
   109,745/164,563 = 164,563/x
3. Step 3: Cross multiply
   109,745x = 164,563 × 164,563
4. Step 4: Simplify right side
   109,745x = 27,080,980,969
5. Step 5: Solve for x
   x = 27,080,980,969/109,745
6. Step 6: Final answer
   x = 246,762.78