Finding the Third Proportional to 78,454 and 170,508

Step by Step Solution

1. Step 1: Write the proportion equation
   78,454 : 170,508 = 170,508 : x
2. Step 2: Convert to fraction form
   78,454/170,508 = 170,508/x
3. Step 3: Cross multiply
   78,454x = 170,508 × 170,508
4. Step 4: Simplify right side
   78,454x = 29,072,978,064
5. Step 5: Solve for x
   x = 29,072,978,064/78,454
6. Step 6: Final answer
   x = 370,573.56