Finding the Third Proportional to 380,279.50 and 584,568

Step by Step Solution

1. Step 1: Write the proportion equation
   380,279.50 : 584,568 = 584,568 : x
2. Step 2: Convert to fraction form
   380,279.50/584,568 = 584,568/x
3. Step 3: Cross multiply
   380,279.50x = 584,568 × 584,568
4. Step 4: Simplify right side
   380,279.50x = 341,719,746,624
5. Step 5: Solve for x
   x = 341,719,746,624/380,279.50
6. Step 6: Final answer
   x = 898,601.55