Finding the Third Proportional to 145,564 and 231,466

Step by Step Solution

1. Step 1: Write the proportion equation
   145,564 : 231,466 = 231,466 : x
2. Step 2: Convert to fraction form
   145,564/231,466 = 231,466/x
3. Step 3: Cross multiply
   145,564x = 231,466 × 231,466
4. Step 4: Simplify right side
   145,564x = 53,576,509,156
5. Step 5: Solve for x
   x = 53,576,509,156/145,564
6. Step 6: Final answer
   x = 368,061.53