Finding the Third Proportional to 82,290 and 145,087

Step by Step Solution

1. Step 1: Write the proportion equation
   82,290 : 145,087 = 145,087 : x
2. Step 2: Convert to fraction form
   82,290/145,087 = 145,087/x
3. Step 3: Cross multiply
   82,290x = 145,087 × 145,087
4. Step 4: Simplify right side
   82,290x = 21,050,237,569
5. Step 5: Solve for x
   x = 21,050,237,569/82,290
6. Step 6: Final answer
   x = 255,805.54