Finding the Third Proportional to 82,368 and 174,456

Step by Step Solution

1. Step 1: Write the proportion equation
   82,368 : 174,456 = 174,456 : x
2. Step 2: Convert to fraction form
   82,368/174,456 = 174,456/x
3. Step 3: Cross multiply
   82,368x = 174,456 × 174,456
4. Step 4: Simplify right side
   82,368x = 30,434,895,936
5. Step 5: Solve for x
   x = 30,434,895,936/82,368
6. Step 6: Final answer
   x = 369,499.03