Finding the Third Proportional to 100,861 and 219,464.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,861 : 219,464.50 = 219,464.50 : x
2. Step 2: Convert to fraction form
   100,861/219,464.50 = 219,464.50/x
3. Step 3: Cross multiply
   100,861x = 219,464.50 × 219,464.50
4. Step 4: Simplify right side
   100,861x = 48,164,666,760.25
5. Step 5: Solve for x
   x = 48,164,666,760.25/100,861
6. Step 6: Final answer
   x = 477,535.09