Finding the Third Proportional to 77,556 and 123,006

Step by Step Solution

1. Step 1: Write the proportion equation
   77,556 : 123,006 = 123,006 : x
2. Step 2: Convert to fraction form
   77,556/123,006 = 123,006/x
3. Step 3: Cross multiply
   77,556x = 123,006 × 123,006
4. Step 4: Simplify right side
   77,556x = 15,130,476,036
5. Step 5: Solve for x
   x = 15,130,476,036/77,556
6. Step 6: Final answer
   x = 195,090.98