Finding the Third Proportional to 381,055 and 584,758.50

Step by Step Solution

1. Step 1: Write the proportion equation
   381,055 : 584,758.50 = 584,758.50 : x
2. Step 2: Convert to fraction form
   381,055/584,758.50 = 584,758.50/x
3. Step 3: Cross multiply
   381,055x = 584,758.50 × 584,758.50
4. Step 4: Simplify right side
   381,055x = 341,942,503,322.25
5. Step 5: Solve for x
   x = 341,942,503,322.25/381,055
6. Step 6: Final answer
   x = 897,357.35