Finding the Third Proportional to 83,504 and 178,678

Step by Step Solution

1. Step 1: Write the proportion equation
   83,504 : 178,678 = 178,678 : x
2. Step 2: Convert to fraction form
   83,504/178,678 = 178,678/x
3. Step 3: Cross multiply
   83,504x = 178,678 × 178,678
4. Step 4: Simplify right side
   83,504x = 31,925,827,684
5. Step 5: Solve for x
   x = 31,925,827,684/83,504
6. Step 6: Final answer
   x = 382,326.93