Finding the Third Proportional to 109,023 and 233,806.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,023 : 233,806.50 = 233,806.50 : x
2. Step 2: Convert to fraction form
   109,023/233,806.50 = 233,806.50/x
3. Step 3: Cross multiply
   109,023x = 233,806.50 × 233,806.50
4. Step 4: Simplify right side
   109,023x = 54,665,479,442.25
5. Step 5: Solve for x
   x = 54,665,479,442.25/109,023
6. Step 6: Final answer
   x = 501,412.36