Finding the Third Proportional to 82,720 and 123,749

Step by Step Solution

1. Step 1: Write the proportion equation
   82,720 : 123,749 = 123,749 : x
2. Step 2: Convert to fraction form
   82,720/123,749 = 123,749/x
3. Step 3: Cross multiply
   82,720x = 123,749 × 123,749
4. Step 4: Simplify right side
   82,720x = 15,313,815,001
5. Step 5: Solve for x
   x = 15,313,815,001/82,720
6. Step 6: Final answer
   x = 185,128.32