Finding the Third Proportional to 103,642 and 219,738.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,642 : 219,738.50 = 219,738.50 : x
2. Step 2: Convert to fraction form
   103,642/219,738.50 = 219,738.50/x
3. Step 3: Cross multiply
   103,642x = 219,738.50 × 219,738.50
4. Step 4: Simplify right side
   103,642x = 48,285,008,382.25
5. Step 5: Solve for x
   x = 48,285,008,382.25/103,642
6. Step 6: Final answer
   x = 465,882.64