Finding the Third Proportional to 40,362 and 86,284

Step by Step Solution

1. Step 1: Write the proportion equation
   40,362 : 86,284 = 86,284 : x
2. Step 2: Convert to fraction form
   40,362/86,284 = 86,284/x
3. Step 3: Cross multiply
   40,362x = 86,284 × 86,284
4. Step 4: Simplify right side
   40,362x = 7,444,928,656
5. Step 5: Solve for x
   x = 7,444,928,656/40,362
6. Step 6: Final answer
   x = 184,453.91