Finding the Third Proportional to 233,415 and 509,233.50

Step by Step Solution

1. Step 1: Write the proportion equation
   233,415 : 509,233.50 = 509,233.50 : x
2. Step 2: Convert to fraction form
   233,415/509,233.50 = 509,233.50/x
3. Step 3: Cross multiply
   233,415x = 509,233.50 × 509,233.50
4. Step 4: Simplify right side
   233,415x = 259,318,757,522.25
5. Step 5: Solve for x
   x = 259,318,757,522.25/233,415
6. Step 6: Final answer
   x = 1,110,977.26