Finding the Third Proportional to 178,824 and 265,144

Step by Step Solution

1. Step 1: Write the proportion equation
   178,824 : 265,144 = 265,144 : x
2. Step 2: Convert to fraction form
   178,824/265,144 = 265,144/x
3. Step 3: Cross multiply
   178,824x = 265,144 × 265,144
4. Step 4: Simplify right side
   178,824x = 70,301,340,736
5. Step 5: Solve for x
   x = 70,301,340,736/178,824
6. Step 6: Final answer
   x = 393,131.46