Finding the Third Proportional to 40,307 and 86,446

Step by Step Solution

1. Step 1: Write the proportion equation
   40,307 : 86,446 = 86,446 : x
2. Step 2: Convert to fraction form
   40,307/86,446 = 86,446/x
3. Step 3: Cross multiply
   40,307x = 86,446 × 86,446
4. Step 4: Simplify right side
   40,307x = 7,472,910,916
5. Step 5: Solve for x
   x = 7,472,910,916/40,307
6. Step 6: Final answer
   x = 185,399.83