Finding the Third Proportional to 114,938 and 178,386

Step by Step Solution

1. Step 1: Write the proportion equation
   114,938 : 178,386 = 178,386 : x
2. Step 2: Convert to fraction form
   114,938/178,386 = 178,386/x
3. Step 3: Cross multiply
   114,938x = 178,386 × 178,386
4. Step 4: Simplify right side
   114,938x = 31,821,564,996
5. Step 5: Solve for x
   x = 31,821,564,996/114,938
6. Step 6: Final answer
   x = 276,858.52