Finding the Third Proportional to 123,228 and 178,038

Step by Step Solution

1. Step 1: Write the proportion equation
   123,228 : 178,038 = 178,038 : x
2. Step 2: Convert to fraction form
   123,228/178,038 = 178,038/x
3. Step 3: Cross multiply
   123,228x = 178,038 × 178,038
4. Step 4: Simplify right side
   123,228x = 31,697,529,444
5. Step 5: Solve for x
   x = 31,697,529,444/123,228
6. Step 6: Final answer
   x = 257,226.68