Finding the Third Proportional to 150,555.75 and 205,066.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150,555.75 : 205,066.50 = 205,066.50 : x
2. Step 2: Convert to fraction form
   150,555.75/205,066.50 = 205,066.50/x
3. Step 3: Cross multiply
   150,555.75x = 205,066.50 × 205,066.50
4. Step 4: Simplify right side
   150,555.75x = 42,052,269,422.25
5. Step 5: Solve for x
   x = 42,052,269,422.25/150,555.75
6. Step 6: Final answer
   x = 279,313.61