Finding the Third Proportional to 106,738.50 and 167,434.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,738.50 : 167,434.50 = 167,434.50 : x
2. Step 2: Convert to fraction form
   106,738.50/167,434.50 = 167,434.50/x
3. Step 3: Cross multiply
   106,738.50x = 167,434.50 × 167,434.50
4. Step 4: Simplify right side
   106,738.50x = 28,034,311,790.25
5. Step 5: Solve for x
   x = 28,034,311,790.25/106,738.50
6. Step 6: Final answer
   x = 262,644.80