Finding the Third Proportional to 73,184 and 112,980

Step by Step Solution

1. Step 1: Write the proportion equation
   73,184 : 112,980 = 112,980 : x
2. Step 2: Convert to fraction form
   73,184/112,980 = 112,980/x
3. Step 3: Cross multiply
   73,184x = 112,980 × 112,980
4. Step 4: Simplify right side
   73,184x = 12,764,480,400
5. Step 5: Solve for x
   x = 12,764,480,400/73,184
6. Step 6: Final answer
   x = 174,416.27