Finding the Third Proportional to 171,819 and 377,514

Step by Step Solution

1. Step 1: Write the proportion equation
   171,819 : 377,514 = 377,514 : x
2. Step 2: Convert to fraction form
   171,819/377,514 = 377,514/x
3. Step 3: Cross multiply
   171,819x = 377,514 × 377,514
4. Step 4: Simplify right side
   171,819x = 142,516,820,196
5. Step 5: Solve for x
   x = 142,516,820,196/171,819
6. Step 6: Final answer
   x = 829,459.02