Finding the Third Proportional to 113,223 and 231,362

Step by Step Solution

1. Step 1: Write the proportion equation
   113,223 : 231,362 = 231,362 : x
2. Step 2: Convert to fraction form
   113,223/231,362 = 231,362/x
3. Step 3: Cross multiply
   113,223x = 231,362 × 231,362
4. Step 4: Simplify right side
   113,223x = 53,528,375,044
5. Step 5: Solve for x
   x = 53,528,375,044/113,223
6. Step 6: Final answer
   x = 472,769.45