Finding the Third Proportional to 78,819 and 172,954

Step by Step Solution

1. Step 1: Write the proportion equation
   78,819 : 172,954 = 172,954 : x
2. Step 2: Convert to fraction form
   78,819/172,954 = 172,954/x
3. Step 3: Cross multiply
   78,819x = 172,954 × 172,954
4. Step 4: Simplify right side
   78,819x = 29,913,086,116
5. Step 5: Solve for x
   x = 29,913,086,116/78,819
6. Step 6: Final answer
   x = 379,516.18