Finding the Third Proportional to 106,530 and 233,104.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,530 : 233,104.50 = 233,104.50 : x
2. Step 2: Convert to fraction form
   106,530/233,104.50 = 233,104.50/x
3. Step 3: Cross multiply
   106,530x = 233,104.50 × 233,104.50
4. Step 4: Simplify right side
   106,530x = 54,337,707,920.25
5. Step 5: Solve for x
   x = 54,337,707,920.25/106,530
6. Step 6: Final answer
   x = 510,069.54