Finding the Third Proportional to 83,238 and 178,386

Step by Step Solution

1. Step 1: Write the proportion equation
   83,238 : 178,386 = 178,386 : x
2. Step 2: Convert to fraction form
   83,238/178,386 = 178,386/x
3. Step 3: Cross multiply
   83,238x = 178,386 × 178,386
4. Step 4: Simplify right side
   83,238x = 31,821,564,996
5. Step 5: Solve for x
   x = 31,821,564,996/83,238
6. Step 6: Final answer
   x = 382,296.13