Finding the Third Proportional to 380,290 and 584,581.50

Step by Step Solution

1. Step 1: Write the proportion equation
   380,290 : 584,581.50 = 584,581.50 : x
2. Step 2: Convert to fraction form
   380,290/584,581.50 = 584,581.50/x
3. Step 3: Cross multiply
   380,290x = 584,581.50 × 584,581.50
4. Step 4: Simplify right side
   380,290x = 341,735,530,142.25
5. Step 5: Solve for x
   x = 341,735,530,142.25/380,290
6. Step 6: Final answer
   x = 898,618.24