Finding the Third Proportional to 100,397 and 155,456

Step by Step Solution

1. Step 1: Write the proportion equation
   100,397 : 155,456 = 155,456 : x
2. Step 2: Convert to fraction form
   100,397/155,456 = 155,456/x
3. Step 3: Cross multiply
   100,397x = 155,456 × 155,456
4. Step 4: Simplify right side
   100,397x = 24,166,567,936
5. Step 5: Solve for x
   x = 24,166,567,936/100,397
6. Step 6: Final answer
   x = 240,710.06