Finding the Third Proportional to 150,688.50 and 204,654

Step by Step Solution

1. Step 1: Write the proportion equation
   150,688.50 : 204,654 = 204,654 : x
2. Step 2: Convert to fraction form
   150,688.50/204,654 = 204,654/x
3. Step 3: Cross multiply
   150,688.50x = 204,654 × 204,654
4. Step 4: Simplify right side
   150,688.50x = 41,883,259,716
5. Step 5: Solve for x
   x = 41,883,259,716/150,688.50
6. Step 6: Final answer
   x = 277,945.96