Finding the Third Proportional to 153,896 and 231,856

Step by Step Solution

1. Step 1: Write the proportion equation
   153,896 : 231,856 = 231,856 : x
2. Step 2: Convert to fraction form
   153,896/231,856 = 231,856/x
3. Step 3: Cross multiply
   153,896x = 231,856 × 231,856
4. Step 4: Simplify right side
   153,896x = 53,757,204,736
5. Step 5: Solve for x
   x = 53,757,204,736/153,896
6. Step 6: Final answer
   x = 349,308.65