Finding the Third Proportional to 72,084 and 114,036

Step by Step Solution

1. Step 1: Write the proportion equation
   72,084 : 114,036 = 114,036 : x
2. Step 2: Convert to fraction form
   72,084/114,036 = 114,036/x
3. Step 3: Cross multiply
   72,084x = 114,036 × 114,036
4. Step 4: Simplify right side
   72,084x = 13,004,209,296
5. Step 5: Solve for x
   x = 13,004,209,296/72,084
6. Step 6: Final answer
   x = 180,403.55