Finding the Third Proportional to 266,814 and 589,639.50

Step by Step Solution

1. Step 1: Write the proportion equation
   266,814 : 589,639.50 = 589,639.50 : x
2. Step 2: Convert to fraction form
   266,814/589,639.50 = 589,639.50/x
3. Step 3: Cross multiply
   266,814x = 589,639.50 × 589,639.50
4. Step 4: Simplify right side
   266,814x = 347,674,739,960.25
5. Step 5: Solve for x
   x = 347,674,739,960.25/266,814
6. Step 6: Final answer
   x = 1,303,060.33