Finding the Third Proportional to 172,476 and 377,016

Step by Step Solution

1. Step 1: Write the proportion equation
   172,476 : 377,016 = 377,016 : x
2. Step 2: Convert to fraction form
   172,476/377,016 = 377,016/x
3. Step 3: Cross multiply
   172,476x = 377,016 × 377,016
4. Step 4: Simplify right side
   172,476x = 142,141,064,256
5. Step 5: Solve for x
   x = 142,141,064,256/172,476
6. Step 6: Final answer
   x = 824,120.83