Finding the Third Proportional to 131,121 and 233,142

Step by Step Solution

1. Step 1: Write the proportion equation
   131,121 : 233,142 = 233,142 : x
2. Step 2: Convert to fraction form
   131,121/233,142 = 233,142/x
3. Step 3: Cross multiply
   131,121x = 233,142 × 233,142
4. Step 4: Simplify right side
   131,121x = 54,355,192,164
5. Step 5: Solve for x
   x = 54,355,192,164/131,121
6. Step 6: Final answer
   x = 414,542.23