Finding the Third Proportional to 237,096 and 333,468

Step by Step Solution

1. Step 1: Write the proportion equation
   237,096 : 333,468 = 333,468 : x
2. Step 2: Convert to fraction form
   237,096/333,468 = 333,468/x
3. Step 3: Cross multiply
   237,096x = 333,468 × 333,468
4. Step 4: Simplify right side
   237,096x = 111,200,907,024
5. Step 5: Solve for x
   x = 111,200,907,024/237,096
6. Step 6: Final answer
   x = 469,012.16