Finding the Third Proportional to 305,763 and 415,216.50

Step by Step Solution

1. Step 1: Write the proportion equation
   305,763 : 415,216.50 = 415,216.50 : x
2. Step 2: Convert to fraction form
   305,763/415,216.50 = 415,216.50/x
3. Step 3: Cross multiply
   305,763x = 415,216.50 × 415,216.50
4. Step 4: Simplify right side
   305,763x = 172,404,741,872.25
5. Step 5: Solve for x
   x = 172,404,741,872.25/305,763
6. Step 6: Final answer
   x = 563,850.90