Finding the Third Proportional to 155,805 and 254,388

Step by Step Solution

1. Step 1: Write the proportion equation
   155,805 : 254,388 = 254,388 : x
2. Step 2: Convert to fraction form
   155,805/254,388 = 254,388/x
3. Step 3: Cross multiply
   155,805x = 254,388 × 254,388
4. Step 4: Simplify right side
   155,805x = 64,713,254,544
5. Step 5: Solve for x
   x = 64,713,254,544/155,805
6. Step 6: Final answer
   x = 415,347.74