Finding the Third Proportional to 151,288.50 and 205,566

Step by Step Solution

1. Step 1: Write the proportion equation
   151,288.50 : 205,566 = 205,566 : x
2. Step 2: Convert to fraction form
   151,288.50/205,566 = 205,566/x
3. Step 3: Cross multiply
   151,288.50x = 205,566 × 205,566
4. Step 4: Simplify right side
   151,288.50x = 42,257,380,356
5. Step 5: Solve for x
   x = 42,257,380,356/151,288.50
6. Step 6: Final answer
   x = 279,316.54