Finding the Third Proportional to 109,199.25 and 167,256

Step by Step Solution

1. Step 1: Write the proportion equation
   109,199.25 : 167,256 = 167,256 : x
2. Step 2: Convert to fraction form
   109,199.25/167,256 = 167,256/x
3. Step 3: Cross multiply
   109,199.25x = 167,256 × 167,256
4. Step 4: Simplify right side
   109,199.25x = 27,974,569,536
5. Step 5: Solve for x
   x = 27,974,569,536/109,199.25
6. Step 6: Final answer
   x = 256,179.14