Finding the Third Proportional to 171,808 and 377,491

Step by Step Solution

1. Step 1: Write the proportion equation
   171,808 : 377,491 = 377,491 : x
2. Step 2: Convert to fraction form
   171,808/377,491 = 377,491/x
3. Step 3: Cross multiply
   171,808x = 377,491 × 377,491
4. Step 4: Simplify right side
   171,808x = 142,499,455,081
5. Step 5: Solve for x
   x = 142,499,455,081/171,808
6. Step 6: Final answer
   x = 829,411.06