Finding the Third Proportional to 82,578 and 124,404.75

Step by Step Solution

1. Step 1: Write the proportion equation
   82,578 : 124,404.75 = 124,404.75 : x
2. Step 2: Convert to fraction form
   82,578/124,404.75 = 124,404.75/x
3. Step 3: Cross multiply
   82,578x = 124,404.75 × 124,404.75
4. Step 4: Simplify right side
   82,578x = 15,476,541,822.56
5. Step 5: Solve for x
   x = 15,476,541,822.56/82,578
6. Step 6: Final answer
   x = 187,417.25