Finding the Third Proportional to 144,090 and 231,512

Step by Step Solution

1. Step 1: Write the proportion equation
   144,090 : 231,512 = 231,512 : x
2. Step 2: Convert to fraction form
   144,090/231,512 = 231,512/x
3. Step 3: Cross multiply
   144,090x = 231,512 × 231,512
4. Step 4: Simplify right side
   144,090x = 53,597,806,144
5. Step 5: Solve for x
   x = 53,597,806,144/144,090
6. Step 6: Final answer
   x = 371,974.50