Finding the Third Proportional to 155,768 and 233,392

Step by Step Solution

1. Step 1: Write the proportion equation
   155,768 : 233,392 = 233,392 : x
2. Step 2: Convert to fraction form
   155,768/233,392 = 233,392/x
3. Step 3: Cross multiply
   155,768x = 233,392 × 233,392
4. Step 4: Simplify right side
   155,768x = 54,471,825,664
5. Step 5: Solve for x
   x = 54,471,825,664/155,768
6. Step 6: Final answer
   x = 349,698.43