Finding the Third Proportional to 150,915.50 and 204,229

Step by Step Solution

1. Step 1: Write the proportion equation
   150,915.50 : 204,229 = 204,229 : x
2. Step 2: Convert to fraction form
   150,915.50/204,229 = 204,229/x
3. Step 3: Cross multiply
   150,915.50x = 204,229 × 204,229
4. Step 4: Simplify right side
   150,915.50x = 41,709,484,441
5. Step 5: Solve for x
   x = 41,709,484,441/150,915.50
6. Step 6: Final answer
   x = 276,376.41