Finding the Third Proportional to 81,780 and 123,080

Step by Step Solution

1. Step 1: Write the proportion equation
   81,780 : 123,080 = 123,080 : x
2. Step 2: Convert to fraction form
   81,780/123,080 = 123,080/x
3. Step 3: Cross multiply
   81,780x = 123,080 × 123,080
4. Step 4: Simplify right side
   81,780x = 15,148,686,400
5. Step 5: Solve for x
   x = 15,148,686,400/81,780
6. Step 6: Final answer
   x = 185,237.06