Finding the Third Proportional to 155,782 and 233,410

Step by Step Solution

1. Step 1: Write the proportion equation
   155,782 : 233,410 = 233,410 : x
2. Step 2: Convert to fraction form
   155,782/233,410 = 233,410/x
3. Step 3: Cross multiply
   155,782x = 233,410 × 233,410
4. Step 4: Simplify right side
   155,782x = 54,480,228,100
5. Step 5: Solve for x
   x = 54,480,228,100/155,782
6. Step 6: Final answer
   x = 349,720.94