Finding the Third Proportional to 113,221 and 231,358

Step by Step Solution

1. Step 1: Write the proportion equation
   113,221 : 231,358 = 231,358 : x
2. Step 2: Convert to fraction form
   113,221/231,358 = 231,358/x
3. Step 3: Cross multiply
   113,221x = 231,358 × 231,358
4. Step 4: Simplify right side
   113,221x = 53,526,524,164
5. Step 5: Solve for x
   x = 53,526,524,164/113,221
6. Step 6: Final answer
   x = 472,761.45