Finding the Third Proportional to 144,144 and 231,603

Step by Step Solution

1. Step 1: Write the proportion equation
   144,144 : 231,603 = 231,603 : x
2. Step 2: Convert to fraction form
   144,144/231,603 = 231,603/x
3. Step 3: Cross multiply
   144,144x = 231,603 × 231,603
4. Step 4: Simplify right side
   144,144x = 53,639,949,609
5. Step 5: Solve for x
   x = 53,639,949,609/144,144
6. Step 6: Final answer
   x = 372,127.52