Finding the Third Proportional to 150,663.38 and 204,619.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150,663.38 : 204,619.50 = 204,619.50 : x
2. Step 2: Convert to fraction form
   150,663.38/204,619.50 = 204,619.50/x
3. Step 3: Cross multiply
   150,663.38x = 204,619.50 × 204,619.50
4. Step 4: Simplify right side
   150,663.38x = 41,869,139,780.25
5. Step 5: Solve for x
   x = 41,869,139,780.25/150,663.38
6. Step 6: Final answer
   x = 277,898.59