Finding the Third Proportional to 116,824 and 178,128

Step by Step Solution

1. Step 1: Write the proportion equation
   116,824 : 178,128 = 178,128 : x
2. Step 2: Convert to fraction form
   116,824/178,128 = 178,128/x
3. Step 3: Cross multiply
   116,824x = 178,128 × 178,128
4. Step 4: Simplify right side
   116,824x = 31,729,584,384
5. Step 5: Solve for x
   x = 31,729,584,384/116,824
6. Step 6: Final answer
   x = 271,601.59