Finding the Third Proportional to 172,182 and 377,592

Step by Step Solution

1. Step 1: Write the proportion equation
   172,182 : 377,592 = 377,592 : x
2. Step 2: Convert to fraction form
   172,182/377,592 = 377,592/x
3. Step 3: Cross multiply
   172,182x = 377,592 × 377,592
4. Step 4: Simplify right side
   172,182x = 142,575,718,464
5. Step 5: Solve for x
   x = 142,575,718,464/172,182
6. Step 6: Final answer
   x = 828,052.40