Finding the Third Proportional to 78,032 and 168,544

Step by Step Solution

1. Step 1: Write the proportion equation
   78,032 : 168,544 = 168,544 : x
2. Step 2: Convert to fraction form
   78,032/168,544 = 168,544/x
3. Step 3: Cross multiply
   78,032x = 168,544 × 168,544
4. Step 4: Simplify right side
   78,032x = 28,407,079,936
5. Step 5: Solve for x
   x = 28,407,079,936/78,032
6. Step 6: Final answer
   x = 364,043.98