Finding the Third Proportional to 40,318 and 86,468

Step by Step Solution

1. Step 1: Write the proportion equation
   40,318 : 86,468 = 86,468 : x
2. Step 2: Convert to fraction form
   40,318/86,468 = 86,468/x
3. Step 3: Cross multiply
   40,318x = 86,468 × 86,468
4. Step 4: Simplify right side
   40,318x = 7,476,715,024
5. Step 5: Solve for x
   x = 7,476,715,024/40,318
6. Step 6: Final answer
   x = 185,443.60