Finding the Third Proportional to 114,934 and 178,380

Step by Step Solution

1. Step 1: Write the proportion equation
   114,934 : 178,380 = 178,380 : x
2. Step 2: Convert to fraction form
   114,934/178,380 = 178,380/x
3. Step 3: Cross multiply
   114,934x = 178,380 × 178,380
4. Step 4: Simplify right side
   114,934x = 31,819,424,400
5. Step 5: Solve for x
   x = 31,819,424,400/114,934
6. Step 6: Final answer
   x = 276,849.53