Finding the Third Proportional to 233,404.50 and 265,480.50

Step by Step Solution

1. Step 1: Write the proportion equation
   233,404.50 : 265,480.50 = 265,480.50 : x
2. Step 2: Convert to fraction form
   233,404.50/265,480.50 = 265,480.50/x
3. Step 3: Cross multiply
   233,404.50x = 265,480.50 × 265,480.50
4. Step 4: Simplify right side
   233,404.50x = 70,479,895,880.25
5. Step 5: Solve for x
   x = 70,479,895,880.25/233,404.50
6. Step 6: Final answer
   x = 301,964.60