Finding the Third Proportional to 233,962 and 349,384

Step by Step Solution

1. Step 1: Write the proportion equation
   233,962 : 349,384 = 349,384 : x
2. Step 2: Convert to fraction form
   233,962/349,384 = 349,384/x
3. Step 3: Cross multiply
   233,962x = 349,384 × 349,384
4. Step 4: Simplify right side
   233,962x = 122,069,179,456
5. Step 5: Solve for x
   x = 122,069,179,456/233,962
6. Step 6: Final answer
   x = 521,747.89