Finding the Third Proportional to 190,919.50 and 377,022.50

Step by Step Solution

1. Step 1: Write the proportion equation
   190,919.50 : 377,022.50 = 377,022.50 : x
2. Step 2: Convert to fraction form
   190,919.50/377,022.50 = 377,022.50/x
3. Step 3: Cross multiply
   190,919.50x = 377,022.50 × 377,022.50
4. Step 4: Simplify right side
   190,919.50x = 142,145,965,506.25
5. Step 5: Solve for x
   x = 142,145,965,506.25/190,919.50
6. Step 6: Final answer
   x = 744,533.51