Finding the Third Proportional to 40,802 and 86,503

Step by Step Solution

1. Step 1: Write the proportion equation
   40,802 : 86,503 = 86,503 : x
2. Step 2: Convert to fraction form
   40,802/86,503 = 86,503/x
3. Step 3: Cross multiply
   40,802x = 86,503 × 86,503
4. Step 4: Simplify right side
   40,802x = 7,482,769,009
5. Step 5: Solve for x
   x = 7,482,769,009/40,802
6. Step 6: Final answer
   x = 183,392.21