Finding the Third Proportional to 40,694 and 86,644

Step by Step Solution

1. Step 1: Write the proportion equation
   40,694 : 86,644 = 86,644 : x
2. Step 2: Convert to fraction form
   40,694/86,644 = 86,644/x
3. Step 3: Cross multiply
   40,694x = 86,644 × 86,644
4. Step 4: Simplify right side
   40,694x = 7,507,182,736
5. Step 5: Solve for x
   x = 7,507,182,736/40,694
6. Step 6: Final answer
   x = 184,478.86