Finding the Third Proportional to 233,763 and 333,130.50

Step by Step Solution

1. Step 1: Write the proportion equation
   233,763 : 333,130.50 = 333,130.50 : x
2. Step 2: Convert to fraction form
   233,763/333,130.50 = 333,130.50/x
3. Step 3: Cross multiply
   233,763x = 333,130.50 × 333,130.50
4. Step 4: Simplify right side
   233,763x = 110,975,930,030.25
5. Step 5: Solve for x
   x = 110,975,930,030.25/233,763
6. Step 6: Final answer
   x = 474,736.93