Finding the Third Proportional to 78,819 and 172,968

Step by Step Solution

1. Step 1: Write the proportion equation
   78,819 : 172,968 = 172,968 : x
2. Step 2: Convert to fraction form
   78,819/172,968 = 172,968/x
3. Step 3: Cross multiply
   78,819x = 172,968 × 172,968
4. Step 4: Simplify right side
   78,819x = 29,917,929,024
5. Step 5: Solve for x
   x = 29,917,929,024/78,819
6. Step 6: Final answer
   x = 379,577.63