Finding the Third Proportional to 233,208 and 330,265.50

Step by Step Solution

1. Step 1: Write the proportion equation
   233,208 : 330,265.50 = 330,265.50 : x
2. Step 2: Convert to fraction form
   233,208/330,265.50 = 330,265.50/x
3. Step 3: Cross multiply
   233,208x = 330,265.50 × 330,265.50
4. Step 4: Simplify right side
   233,208x = 109,075,300,490.25
5. Step 5: Solve for x
   x = 109,075,300,490.25/233,208
6. Step 6: Final answer
   x = 467,716.80