Finding the Third Proportional to 82,854 and 124,290

Step by Step Solution

1. Step 1: Write the proportion equation
   82,854 : 124,290 = 124,290 : x
2. Step 2: Convert to fraction form
   82,854/124,290 = 124,290/x
3. Step 3: Cross multiply
   82,854x = 124,290 × 124,290
4. Step 4: Simplify right side
   82,854x = 15,448,004,100
5. Step 5: Solve for x
   x = 15,448,004,100/82,854
6. Step 6: Final answer
   x = 186,448.50