Finding the Third Proportional to 78,184 and 168,944

Step by Step Solution

1. Step 1: Write the proportion equation
   78,184 : 168,944 = 168,944 : x
2. Step 2: Convert to fraction form
   78,184/168,944 = 168,944/x
3. Step 3: Cross multiply
   78,184x = 168,944 × 168,944
4. Step 4: Simplify right side
   78,184x = 28,542,075,136
5. Step 5: Solve for x
   x = 28,542,075,136/78,184
6. Step 6: Final answer
   x = 365,062.87