Finding the Third Proportional to 245,843 and 378,416.50

Step by Step Solution

1. Step 1: Write the proportion equation
   245,843 : 378,416.50 = 378,416.50 : x
2. Step 2: Convert to fraction form
   245,843/378,416.50 = 378,416.50/x
3. Step 3: Cross multiply
   245,843x = 378,416.50 × 378,416.50
4. Step 4: Simplify right side
   245,843x = 143,199,047,472.25
5. Step 5: Solve for x
   x = 143,199,047,472.25/245,843
6. Step 6: Final answer
   x = 582,481.70