Finding the Third Proportional to 177,157.50 and 377,966

Step by Step Solution

1. Step 1: Write the proportion equation
   177,157.50 : 377,966 = 377,966 : x
2. Step 2: Convert to fraction form
   177,157.50/377,966 = 377,966/x
3. Step 3: Cross multiply
   177,157.50x = 377,966 × 377,966
4. Step 4: Simplify right side
   177,157.50x = 142,858,297,156
5. Step 5: Solve for x
   x = 142,858,297,156/177,157.50
6. Step 6: Final answer
   x = 806,391.47