Finding the Third Proportional to 82,404.84 and 123,584.48

Step by Step Solution

1. Step 1: Write the proportion equation
   82,404.84 : 123,584.48 = 123,584.48 : x
2. Step 2: Convert to fraction form
   82,404.84/123,584.48 = 123,584.48/x
3. Step 3: Cross multiply
   82,404.84x = 123,584.48 × 123,584.48
4. Step 4: Simplify right side
   82,404.84x = 15,273,124,778.23
5. Step 5: Solve for x
   x = 15,273,124,778.23/82,404.84
6. Step 6: Final answer
   x = 185,342.56