Finding the Third Proportional to 40,394.50 and 86,405

Step by Step Solution

1. Step 1: Write the proportion equation
   40,394.50 : 86,405 = 86,405 : x
2. Step 2: Convert to fraction form
   40,394.50/86,405 = 86,405/x
3. Step 3: Cross multiply
   40,394.50x = 86,405 × 86,405
4. Step 4: Simplify right side
   40,394.50x = 7,465,824,025
5. Step 5: Solve for x
   x = 7,465,824,025/40,394.50
6. Step 6: Final answer
   x = 184,822.79