Finding the Third Proportional to 40,574 and 87,184

Step by Step Solution

1. Step 1: Write the proportion equation
   40,574 : 87,184 = 87,184 : x
2. Step 2: Convert to fraction form
   40,574/87,184 = 87,184/x
3. Step 3: Cross multiply
   40,574x = 87,184 × 87,184
4. Step 4: Simplify right side
   40,574x = 7,601,049,856
5. Step 5: Solve for x
   x = 7,601,049,856/40,574
6. Step 6: Final answer
   x = 187,337.95