Finding the Third Proportional to 145,398 and 296,142

Step by Step Solution

1. Step 1: Write the proportion equation
   145,398 : 296,142 = 296,142 : x
2. Step 2: Convert to fraction form
   145,398/296,142 = 296,142/x
3. Step 3: Cross multiply
   145,398x = 296,142 × 296,142
4. Step 4: Simplify right side
   145,398x = 87,700,084,164
5. Step 5: Solve for x
   x = 87,700,084,164/145,398
6. Step 6: Final answer
   x = 603,172.56