Finding the Third Proportional to 78,400 and 170,936

Step by Step Solution

1. Step 1: Write the proportion equation
   78,400 : 170,936 = 170,936 : x
2. Step 2: Convert to fraction form
   78,400/170,936 = 170,936/x
3. Step 3: Cross multiply
   78,400x = 170,936 × 170,936
4. Step 4: Simplify right side
   78,400x = 29,219,116,096
5. Step 5: Solve for x
   x = 29,219,116,096/78,400
6. Step 6: Final answer
   x = 372,692.81