Finding the Third Proportional to 37,184 and 76,180

Step by Step Solution

1. Step 1: Write the proportion equation
   37,184 : 76,180 = 76,180 : x
2. Step 2: Convert to fraction form
   37,184/76,180 = 76,180/x
3. Step 3: Cross multiply
   37,184x = 76,180 × 76,180
4. Step 4: Simplify right side
   37,184x = 5,803,392,400
5. Step 5: Solve for x
   x = 5,803,392,400/37,184
6. Step 6: Final answer
   x = 156,072.30