Finding the Third Proportional to 40,399 and 88,141

Step by Step Solution

1. Step 1: Write the proportion equation
   40,399 : 88,141 = 88,141 : x
2. Step 2: Convert to fraction form
   40,399/88,141 = 88,141/x
3. Step 3: Cross multiply
   40,399x = 88,141 × 88,141
4. Step 4: Simplify right side
   40,399x = 7,768,835,881
5. Step 5: Solve for x
   x = 7,768,835,881/40,399
6. Step 6: Final answer
   x = 192,302.68