Finding the Third Proportional to 82,280 and 194,036

Step by Step Solution

1. Step 1: Write the proportion equation
   82,280 : 194,036 = 194,036 : x
2. Step 2: Convert to fraction form
   82,280/194,036 = 194,036/x
3. Step 3: Cross multiply
   82,280x = 194,036 × 194,036
4. Step 4: Simplify right side
   82,280x = 37,649,969,296
5. Step 5: Solve for x
   x = 37,649,969,296/82,280
6. Step 6: Final answer
   x = 457,583.49