Finding the Third Proportional to 171,843 and 377,308

Step by Step Solution

1. Step 1: Write the proportion equation
   171,843 : 377,308 = 377,308 : x
2. Step 2: Convert to fraction form
   171,843/377,308 = 377,308/x
3. Step 3: Cross multiply
   171,843x = 377,308 × 377,308
4. Step 4: Simplify right side
   171,843x = 142,361,326,864
5. Step 5: Solve for x
   x = 142,361,326,864/171,843
6. Step 6: Final answer
   x = 828,438.32