Finding the Third Proportional to 171,713.50 and 377,684

Step by Step Solution

1. Step 1: Write the proportion equation
   171,713.50 : 377,684 = 377,684 : x
2. Step 2: Convert to fraction form
   171,713.50/377,684 = 377,684/x
3. Step 3: Cross multiply
   171,713.50x = 377,684 × 377,684
4. Step 4: Simplify right side
   171,713.50x = 142,645,203,856
5. Step 5: Solve for x
   x = 142,645,203,856/171,713.50
6. Step 6: Final answer
   x = 830,716.30