Finding the Third Proportional to 66,105 and 144,726

Step by Step Solution

1. Step 1: Write the proportion equation
   66,105 : 144,726 = 144,726 : x
2. Step 2: Convert to fraction form
   66,105/144,726 = 144,726/x
3. Step 3: Cross multiply
   66,105x = 144,726 × 144,726
4. Step 4: Simplify right side
   66,105x = 20,945,615,076
5. Step 5: Solve for x
   x = 20,945,615,076/66,105
6. Step 6: Final answer
   x = 316,853.72