Finding the Third Proportional to 85,831.63 and 186,440.27

Step by Step Solution

1. Step 1: Write the proportion equation
   85,831.63 : 186,440.27 = 186,440.27 : x
2. Step 2: Convert to fraction form
   85,831.63/186,440.27 = 186,440.27/x
3. Step 3: Cross multiply
   85,831.63x = 186,440.27 × 186,440.27
4. Step 4: Simplify right side
   85,831.63x = 34,759,975,559.45
5. Step 5: Solve for x
   x = 34,759,975,559.45/85,831.63
6. Step 6: Final answer
   x = 404,978.63