Finding the Third Proportional to 105,819 and 230,917.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,819 : 230,917.50 = 230,917.50 : x
2. Step 2: Convert to fraction form
   105,819/230,917.50 = 230,917.50/x
3. Step 3: Cross multiply
   105,819x = 230,917.50 × 230,917.50
4. Step 4: Simplify right side
   105,819x = 53,322,891,806.25
5. Step 5: Solve for x
   x = 53,322,891,806.25/105,819
6. Step 6: Final answer
   x = 503,906.59