Finding the Third Proportional to 66,406 and 144,404

Step by Step Solution

1. Step 1: Write the proportion equation
   66,406 : 144,404 = 144,404 : x
2. Step 2: Convert to fraction form
   66,406/144,404 = 144,404/x
3. Step 3: Cross multiply
   66,406x = 144,404 × 144,404
4. Step 4: Simplify right side
   66,406x = 20,852,515,216
5. Step 5: Solve for x
   x = 20,852,515,216/66,406
6. Step 6: Final answer
   x = 314,015.53