Finding the Third Proportional to 155,856 and 233,780

Step by Step Solution

1. Step 1: Write the proportion equation
   155,856 : 233,780 = 233,780 : x
2. Step 2: Convert to fraction form
   155,856/233,780 = 233,780/x
3. Step 3: Cross multiply
   155,856x = 233,780 × 233,780
4. Step 4: Simplify right side
   155,856x = 54,653,088,400
5. Step 5: Solve for x
   x = 54,653,088,400/155,856
6. Step 6: Final answer
   x = 350,664.00