Finding the Third Proportional to 40,324 and 86,492

Step by Step Solution

1. Step 1: Write the proportion equation
   40,324 : 86,492 = 86,492 : x
2. Step 2: Convert to fraction form
   40,324/86,492 = 86,492/x
3. Step 3: Cross multiply
   40,324x = 86,492 × 86,492
4. Step 4: Simplify right side
   40,324x = 7,480,866,064
5. Step 5: Solve for x
   x = 7,480,866,064/40,324
6. Step 6: Final answer
   x = 185,518.95