Finding the Third Proportional to 145,364 and 206,142

Step by Step Solution

1. Step 1: Write the proportion equation
   145,364 : 206,142 = 206,142 : x
2. Step 2: Convert to fraction form
   145,364/206,142 = 206,142/x
3. Step 3: Cross multiply
   145,364x = 206,142 × 206,142
4. Step 4: Simplify right side
   145,364x = 42,494,524,164
5. Step 5: Solve for x
   x = 42,494,524,164/145,364
6. Step 6: Final answer
   x = 292,331.83