Finding the Third Proportional to 40,394 and 86,404

Step by Step Solution

1. Step 1: Write the proportion equation
   40,394 : 86,404 = 86,404 : x
2. Step 2: Convert to fraction form
   40,394/86,404 = 86,404/x
3. Step 3: Cross multiply
   40,394x = 86,404 × 86,404
4. Step 4: Simplify right side
   40,394x = 7,465,651,216
5. Step 5: Solve for x
   x = 7,465,651,216/40,394
6. Step 6: Final answer
   x = 184,820.80