Finding the Third Proportional to 269,166 and 566,218.50

Step by Step Solution

1. Step 1: Write the proportion equation
   269,166 : 566,218.50 = 566,218.50 : x
2. Step 2: Convert to fraction form
   269,166/566,218.50 = 566,218.50/x
3. Step 3: Cross multiply
   269,166x = 566,218.50 × 566,218.50
4. Step 4: Simplify right side
   269,166x = 320,603,389,742.25
5. Step 5: Solve for x
   x = 320,603,389,742.25/269,166
6. Step 6: Final answer
   x = 1,191,099.13