Finding the Third Proportional to 78,517 and 174,449

Step by Step Solution

1. Step 1: Write the proportion equation
   78,517 : 174,449 = 174,449 : x
2. Step 2: Convert to fraction form
   78,517/174,449 = 174,449/x
3. Step 3: Cross multiply
   78,517x = 174,449 × 174,449
4. Step 4: Simplify right side
   78,517x = 30,432,453,601
5. Step 5: Solve for x
   x = 30,432,453,601/78,517
6. Step 6: Final answer
   x = 387,590.63