Finding the Third Proportional to 78,290 and 174,508

Step by Step Solution

1. Step 1: Write the proportion equation
   78,290 : 174,508 = 174,508 : x
2. Step 2: Convert to fraction form
   78,290/174,508 = 174,508/x
3. Step 3: Cross multiply
   78,290x = 174,508 × 174,508
4. Step 4: Simplify right side
   78,290x = 30,453,042,064
5. Step 5: Solve for x
   x = 30,453,042,064/78,290
6. Step 6: Final answer
   x = 388,977.42