Finding the Third Proportional to 177,340.50 and 377,685

Step by Step Solution

1. Step 1: Write the proportion equation
   177,340.50 : 377,685 = 377,685 : x
2. Step 2: Convert to fraction form
   177,340.50/377,685 = 377,685/x
3. Step 3: Cross multiply
   177,340.50x = 377,685 × 377,685
4. Step 4: Simplify right side
   177,340.50x = 142,645,959,225
5. Step 5: Solve for x
   x = 142,645,959,225/177,340.50
6. Step 6: Final answer
   x = 804,362.00