Finding the Third Proportional to 36,185 and 78,742

Step by Step Solution

1. Step 1: Write the proportion equation
   36,185 : 78,742 = 78,742 : x
2. Step 2: Convert to fraction form
   36,185/78,742 = 78,742/x
3. Step 3: Cross multiply
   36,185x = 78,742 × 78,742
4. Step 4: Simplify right side
   36,185x = 6,200,302,564
5. Step 5: Solve for x
   x = 6,200,302,564/36,185
6. Step 6: Final answer
   x = 171,350.08