Finding the Third Proportional to 40,304 and 86,152

Step by Step Solution

1. Step 1: Write the proportion equation
   40,304 : 86,152 = 86,152 : x
2. Step 2: Convert to fraction form
   40,304/86,152 = 86,152/x
3. Step 3: Cross multiply
   40,304x = 86,152 × 86,152
4. Step 4: Simplify right side
   40,304x = 7,422,167,104
5. Step 5: Solve for x
   x = 7,422,167,104/40,304
6. Step 6: Final answer
   x = 184,154.60