Finding the Third Proportional to 109,191 and 231,558

Step by Step Solution

1. Step 1: Write the proportion equation
   109,191 : 231,558 = 231,558 : x
2. Step 2: Convert to fraction form
   109,191/231,558 = 231,558/x
3. Step 3: Cross multiply
   109,191x = 231,558 × 231,558
4. Step 4: Simplify right side
   109,191x = 53,619,107,364
5. Step 5: Solve for x
   x = 53,619,107,364/109,191
6. Step 6: Final answer
   x = 491,057.94