Finding the Third Proportional to 77,576 and 123,036

Step by Step Solution

1. Step 1: Write the proportion equation
   77,576 : 123,036 = 123,036 : x
2. Step 2: Convert to fraction form
   77,576/123,036 = 123,036/x
3. Step 3: Cross multiply
   77,576x = 123,036 × 123,036
4. Step 4: Simplify right side
   77,576x = 15,137,857,296
5. Step 5: Solve for x
   x = 15,137,857,296/77,576
6. Step 6: Final answer
   x = 195,135.83