Finding the Third Proportional to 171,711.25 and 377,680

Step by Step Solution

1. Step 1: Write the proportion equation
   171,711.25 : 377,680 = 377,680 : x
2. Step 2: Convert to fraction form
   171,711.25/377,680 = 377,680/x
3. Step 3: Cross multiply
   171,711.25x = 377,680 × 377,680
4. Step 4: Simplify right side
   171,711.25x = 142,642,182,400
5. Step 5: Solve for x
   x = 142,642,182,400/171,711.25
6. Step 6: Final answer
   x = 830,709.59