Finding the Third Proportional to 78,896 and 172,408

Step by Step Solution

1. Step 1: Write the proportion equation
   78,896 : 172,408 = 172,408 : x
2. Step 2: Convert to fraction form
   78,896/172,408 = 172,408/x
3. Step 3: Cross multiply
   78,896x = 172,408 × 172,408
4. Step 4: Simplify right side
   78,896x = 29,724,518,464
5. Step 5: Solve for x
   x = 29,724,518,464/78,896
6. Step 6: Final answer
   x = 376,755.71