Finding the Third Proportional to 74,184 and 111,936

Step by Step Solution

1. Step 1: Write the proportion equation
   74,184 : 111,936 = 111,936 : x
2. Step 2: Convert to fraction form
   74,184/111,936 = 111,936/x
3. Step 3: Cross multiply
   74,184x = 111,936 × 111,936
4. Step 4: Simplify right side
   74,184x = 12,529,668,096
5. Step 5: Solve for x
   x = 12,529,668,096/74,184
6. Step 6: Final answer
   x = 168,899.87