Finding the Third Proportional to 40,562 and 86,729

Step by Step Solution

1. Step 1: Write the proportion equation
   40,562 : 86,729 = 86,729 : x
2. Step 2: Convert to fraction form
   40,562/86,729 = 86,729/x
3. Step 3: Cross multiply
   40,562x = 86,729 × 86,729
4. Step 4: Simplify right side
   40,562x = 7,521,919,441
5. Step 5: Solve for x
   x = 7,521,919,441/40,562
6. Step 6: Final answer
   x = 185,442.52