Finding the Third Proportional to 150,548 and 205,062

Step by Step Solution

1. Step 1: Write the proportion equation
   150,548 : 205,062 = 205,062 : x
2. Step 2: Convert to fraction form
   150,548/205,062 = 205,062/x
3. Step 3: Cross multiply
   150,548x = 205,062 × 205,062
4. Step 4: Simplify right side
   150,548x = 42,050,423,844
5. Step 5: Solve for x
   x = 42,050,423,844/150,548
6. Step 6: Final answer
   x = 279,315.73