Finding the Third Proportional to 150,550 and 205,065

Step by Step Solution

1. Step 1: Write the proportion equation
   150,550 : 205,065 = 205,065 : x
2. Step 2: Convert to fraction form
   150,550/205,065 = 205,065/x
3. Step 3: Cross multiply
   150,550x = 205,065 × 205,065
4. Step 4: Simplify right side
   150,550x = 42,051,654,225
5. Step 5: Solve for x
   x = 42,051,654,225/150,550
6. Step 6: Final answer
   x = 279,320.19