Finding the Third Proportional to 81,624 and 123,036

Step by Step Solution

1. Step 1: Write the proportion equation
   81,624 : 123,036 = 123,036 : x
2. Step 2: Convert to fraction form
   81,624/123,036 = 123,036/x
3. Step 3: Cross multiply
   81,624x = 123,036 × 123,036
4. Step 4: Simplify right side
   81,624x = 15,137,857,296
5. Step 5: Solve for x
   x = 15,137,857,296/81,624
6. Step 6: Final answer
   x = 185,458.41