Finding the Third Proportional to 40,804 and 86,507

Step by Step Solution

1. Step 1: Write the proportion equation
   40,804 : 86,507 = 86,507 : x
2. Step 2: Convert to fraction form
   40,804/86,507 = 86,507/x
3. Step 3: Cross multiply
   40,804x = 86,507 × 86,507
4. Step 4: Simplify right side
   40,804x = 7,483,461,049
5. Step 5: Solve for x
   x = 7,483,461,049/40,804
6. Step 6: Final answer
   x = 183,400.18