Finding the Third Proportional to 233,662 and 350,096

Step by Step Solution

1. Step 1: Write the proportion equation
   233,662 : 350,096 = 350,096 : x
2. Step 2: Convert to fraction form
   233,662/350,096 = 350,096/x
3. Step 3: Cross multiply
   233,662x = 350,096 × 350,096
4. Step 4: Simplify right side
   233,662x = 122,567,209,216
5. Step 5: Solve for x
   x = 122,567,209,216/233,662
6. Step 6: Final answer
   x = 524,549.17