Finding the Third Proportional to 150,714 and 204,673.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150,714 : 204,673.50 = 204,673.50 : x
2. Step 2: Convert to fraction form
   150,714/204,673.50 = 204,673.50/x
3. Step 3: Cross multiply
   150,714x = 204,673.50 × 204,673.50
4. Step 4: Simplify right side
   150,714x = 41,891,241,602.25
5. Step 5: Solve for x
   x = 41,891,241,602.25/150,714
6. Step 6: Final answer
   x = 277,951.89