Finding the Third Proportional to 155,775 and 233,401

Step by Step Solution

1. Step 1: Write the proportion equation
   155,775 : 233,401 = 233,401 : x
2. Step 2: Convert to fraction form
   155,775/233,401 = 233,401/x
3. Step 3: Cross multiply
   155,775x = 233,401 × 233,401
4. Step 4: Simplify right side
   155,775x = 54,476,026,801
5. Step 5: Solve for x
   x = 54,476,026,801/155,775
6. Step 6: Final answer
   x = 349,709.69