Finding the Third Proportional to 379,591 and 582,073.75

Step by Step Solution

1. Step 1: Write the proportion equation
   379,591 : 582,073.75 = 582,073.75 : x
2. Step 2: Convert to fraction form
   379,591/582,073.75 = 582,073.75/x
3. Step 3: Cross multiply
   379,591x = 582,073.75 × 582,073.75
4. Step 4: Simplify right side
   379,591x = 338,809,850,439.06
5. Step 5: Solve for x
   x = 338,809,850,439.06/379,591
6. Step 6: Final answer
   x = 892,565.55