Finding the Third Proportional to 155,780 and 233,412

Step by Step Solution

1. Step 1: Write the proportion equation
   155,780 : 233,412 = 233,412 : x
2. Step 2: Convert to fraction form
   155,780/233,412 = 233,412/x
3. Step 3: Cross multiply
   155,780x = 233,412 × 233,412
4. Step 4: Simplify right side
   155,780x = 54,481,161,744
5. Step 5: Solve for x
   x = 54,481,161,744/155,780
6. Step 6: Final answer
   x = 349,731.43