Finding the Third Proportional to 110,823 and 235,486.50

Step by Step Solution

1. Step 1: Write the proportion equation
   110,823 : 235,486.50 = 235,486.50 : x
2. Step 2: Convert to fraction form
   110,823/235,486.50 = 235,486.50/x
3. Step 3: Cross multiply
   110,823x = 235,486.50 × 235,486.50
4. Step 4: Simplify right side
   110,823x = 55,453,891,682.25
5. Step 5: Solve for x
   x = 55,453,891,682.25/110,823
6. Step 6: Final answer
   x = 500,382.52