Finding the Third Proportional to 263,656.50 and 564,678

Step by Step Solution

1. Step 1: Write the proportion equation
   263,656.50 : 564,678 = 564,678 : x
2. Step 2: Convert to fraction form
   263,656.50/564,678 = 564,678/x
3. Step 3: Cross multiply
   263,656.50x = 564,678 × 564,678
4. Step 4: Simplify right side
   263,656.50x = 318,861,243,684
5. Step 5: Solve for x
   x = 318,861,243,684/263,656.50
6. Step 6: Final answer
   x = 1,209,381.31