Finding the Third Proportional to 155,510 and 233,408

Step by Step Solution

1. Step 1: Write the proportion equation
   155,510 : 233,408 = 233,408 : x
2. Step 2: Convert to fraction form
   155,510/233,408 = 233,408/x
3. Step 3: Cross multiply
   155,510x = 233,408 × 233,408
4. Step 4: Simplify right side
   155,510x = 54,479,294,464
5. Step 5: Solve for x
   x = 54,479,294,464/155,510
6. Step 6: Final answer
   x = 350,326.63