Finding the Third Proportional to 144,087 and 231,509

Step by Step Solution

1. Step 1: Write the proportion equation
   144,087 : 231,509 = 231,509 : x
2. Step 2: Convert to fraction form
   144,087/231,509 = 231,509/x
3. Step 3: Cross multiply
   144,087x = 231,509 × 231,509
4. Step 4: Simplify right side
   144,087x = 53,596,417,081
5. Step 5: Solve for x
   x = 53,596,417,081/144,087
6. Step 6: Final answer
   x = 371,972.61