Finding the Third Proportional to 82,425 and 158,280

Step by Step Solution

1. Step 1: Write the proportion equation
   82,425 : 158,280 = 158,280 : x
2. Step 2: Convert to fraction form
   82,425/158,280 = 158,280/x
3. Step 3: Cross multiply
   82,425x = 158,280 × 158,280
4. Step 4: Simplify right side
   82,425x = 25,052,558,400
5. Step 5: Solve for x
   x = 25,052,558,400/82,425
6. Step 6: Final answer
   x = 303,943.69