Finding the Third Proportional to 102,766 and 224,206.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,766 : 224,206.50 = 224,206.50 : x
2. Step 2: Convert to fraction form
   102,766/224,206.50 = 224,206.50/x
3. Step 3: Cross multiply
   102,766x = 224,206.50 × 224,206.50
4. Step 4: Simplify right side
   102,766x = 50,268,554,642.25
5. Step 5: Solve for x
   x = 50,268,554,642.25/102,766
6. Step 6: Final answer
   x = 489,155.51