Finding the Third Proportional to 172,528 and 377,042

Step by Step Solution

1. Step 1: Write the proportion equation
   172,528 : 377,042 = 377,042 : x
2. Step 2: Convert to fraction form
   172,528/377,042 = 377,042/x
3. Step 3: Cross multiply
   172,528x = 377,042 × 377,042
4. Step 4: Simplify right side
   172,528x = 142,160,669,764
5. Step 5: Solve for x
   x = 142,160,669,764/172,528
6. Step 6: Final answer
   x = 823,986.08