Finding the Third Proportional to 82,270 and 174,920

Step by Step Solution

1. Step 1: Write the proportion equation
   82,270 : 174,920 = 174,920 : x
2. Step 2: Convert to fraction form
   82,270/174,920 = 174,920/x
3. Step 3: Cross multiply
   82,270x = 174,920 × 174,920
4. Step 4: Simplify right side
   82,270x = 30,597,006,400
5. Step 5: Solve for x
   x = 30,597,006,400/82,270
6. Step 6: Final answer
   x = 371,909.64