Finding the Third Proportional to 40,302 and 87,984

Step by Step Solution

1. Step 1: Write the proportion equation
   40,302 : 87,984 = 87,984 : x
2. Step 2: Convert to fraction form
   40,302/87,984 = 87,984/x
3. Step 3: Cross multiply
   40,302x = 87,984 × 87,984
4. Step 4: Simplify right side
   40,302x = 7,741,184,256
5. Step 5: Solve for x
   x = 7,741,184,256/40,302
6. Step 6: Final answer
   x = 192,079.41