Finding the Third Proportional to 181,467 and 377,820

Step by Step Solution

1. Step 1: Write the proportion equation
   181,467 : 377,820 = 377,820 : x
2. Step 2: Convert to fraction form
   181,467/377,820 = 377,820/x
3. Step 3: Cross multiply
   181,467x = 377,820 × 377,820
4. Step 4: Simplify right side
   181,467x = 142,747,952,400
5. Step 5: Solve for x
   x = 142,747,952,400/181,467
6. Step 6: Final answer
   x = 786,633.12