Finding the Third Proportional to 113,294 and 231,502

Step by Step Solution

1. Step 1: Write the proportion equation
   113,294 : 231,502 = 231,502 : x
2. Step 2: Convert to fraction form
   113,294/231,502 = 231,502/x
3. Step 3: Cross multiply
   113,294x = 231,502 × 231,502
4. Step 4: Simplify right side
   113,294x = 53,593,176,004
5. Step 5: Solve for x
   x = 53,593,176,004/113,294
6. Step 6: Final answer
   x = 473,045.14