Finding the Third Proportional to 83,596 and 123,180

Step by Step Solution

1. Step 1: Write the proportion equation
   83,596 : 123,180 = 123,180 : x
2. Step 2: Convert to fraction form
   83,596/123,180 = 123,180/x
3. Step 3: Cross multiply
   83,596x = 123,180 × 123,180
4. Step 4: Simplify right side
   83,596x = 15,173,312,400
5. Step 5: Solve for x
   x = 15,173,312,400/83,596
6. Step 6: Final answer
   x = 181,507.64