Finding the Third Proportional to 144,082 and 231,501

Step by Step Solution

1. Step 1: Write the proportion equation
   144,082 : 231,501 = 231,501 : x
2. Step 2: Convert to fraction form
   144,082/231,501 = 231,501/x
3. Step 3: Cross multiply
   144,082x = 231,501 × 231,501
4. Step 4: Simplify right side
   144,082x = 53,592,713,001
5. Step 5: Solve for x
   x = 53,592,713,001/144,082
6. Step 6: Final answer
   x = 371,959.81