Finding the Third Proportional to 82,100 and 174,082

Step by Step Solution

1. Step 1: Write the proportion equation
   82,100 : 174,082 = 174,082 : x
2. Step 2: Convert to fraction form
   82,100/174,082 = 174,082/x
3. Step 3: Cross multiply
   82,100x = 174,082 × 174,082
4. Step 4: Simplify right side
   82,100x = 30,304,542,724
5. Step 5: Solve for x
   x = 30,304,542,724/82,100
6. Step 6: Final answer
   x = 369,117.45