Finding the Third Proportional to 114,180 and 178,182

Step by Step Solution

1. Step 1: Write the proportion equation
   114,180 : 178,182 = 178,182 : x
2. Step 2: Convert to fraction form
   114,180/178,182 = 178,182/x
3. Step 3: Cross multiply
   114,180x = 178,182 × 178,182
4. Step 4: Simplify right side
   114,180x = 31,748,825,124
5. Step 5: Solve for x
   x = 31,748,825,124/114,180
6. Step 6: Final answer
   x = 278,059.42