Finding the Third Proportional to 155,523 and 233,242

Step by Step Solution

1. Step 1: Write the proportion equation
   155,523 : 233,242 = 233,242 : x
2. Step 2: Convert to fraction form
   155,523/233,242 = 233,242/x
3. Step 3: Cross multiply
   155,523x = 233,242 × 233,242
4. Step 4: Simplify right side
   155,523x = 54,401,830,564
5. Step 5: Solve for x
   x = 54,401,830,564/155,523
6. Step 6: Final answer
   x = 349,799.26