Finding the Third Proportional to 82,353 and 174,426

Step by Step Solution

1. Step 1: Write the proportion equation
   82,353 : 174,426 = 174,426 : x
2. Step 2: Convert to fraction form
   82,353/174,426 = 174,426/x
3. Step 3: Cross multiply
   82,353x = 174,426 × 174,426
4. Step 4: Simplify right side
   82,353x = 30,424,429,476
5. Step 5: Solve for x
   x = 30,424,429,476/82,353
6. Step 6: Final answer
   x = 369,439.24