Finding the Third Proportional to 100,380 and 150,564

Step by Step Solution

1. Step 1: Write the proportion equation
   100,380 : 150,564 = 150,564 : x
2. Step 2: Convert to fraction form
   100,380/150,564 = 150,564/x
3. Step 3: Cross multiply
   100,380x = 150,564 × 150,564
4. Step 4: Simplify right side
   100,380x = 22,669,518,096
5. Step 5: Solve for x
   x = 22,669,518,096/100,380
6. Step 6: Final answer
   x = 225,837.00