Finding the Third Proportional to 225,783 and 497,641.50

Step by Step Solution

1. Step 1: Write the proportion equation
   225,783 : 497,641.50 = 497,641.50 : x
2. Step 2: Convert to fraction form
   225,783/497,641.50 = 497,641.50/x
3. Step 3: Cross multiply
   225,783x = 497,641.50 × 497,641.50
4. Step 4: Simplify right side
   225,783x = 247,647,062,522.25
5. Step 5: Solve for x
   x = 247,647,062,522.25/225,783
6. Step 6: Final answer
   x = 1,096,836.62