Finding the Third Proportional to 152,896 and 231,642

Step by Step Solution

1. Step 1: Write the proportion equation
   152,896 : 231,642 = 231,642 : x
2. Step 2: Convert to fraction form
   152,896/231,642 = 231,642/x
3. Step 3: Cross multiply
   152,896x = 231,642 × 231,642
4. Step 4: Simplify right side
   152,896x = 53,658,016,164
5. Step 5: Solve for x
   x = 53,658,016,164/152,896
6. Step 6: Final answer
   x = 350,944.54