Finding the Third Proportional to 78,155 and 182,744

Step by Step Solution

1. Step 1: Write the proportion equation
   78,155 : 182,744 = 182,744 : x
2. Step 2: Convert to fraction form
   78,155/182,744 = 182,744/x
3. Step 3: Cross multiply
   78,155x = 182,744 × 182,744
4. Step 4: Simplify right side
   78,155x = 33,395,369,536
5. Step 5: Solve for x
   x = 33,395,369,536/78,155
6. Step 6: Final answer
   x = 427,296.65