Finding the Third Proportional to 245,595 and 380,380.50

Step by Step Solution

1. Step 1: Write the proportion equation
   245,595 : 380,380.50 = 380,380.50 : x
2. Step 2: Convert to fraction form
   245,595/380,380.50 = 380,380.50/x
3. Step 3: Cross multiply
   245,595x = 380,380.50 × 380,380.50
4. Step 4: Simplify right side
   245,595x = 144,689,324,780.25
5. Step 5: Solve for x
   x = 144,689,324,780.25/245,595
6. Step 6: Final answer
   x = 589,137.91