Finding the Third Proportional to 261,836.50 and 563,768

Step by Step Solution

1. Step 1: Write the proportion equation
   261,836.50 : 563,768 = 563,768 : x
2. Step 2: Convert to fraction form
   261,836.50/563,768 = 563,768/x
3. Step 3: Cross multiply
   261,836.50x = 563,768 × 563,768
4. Step 4: Simplify right side
   261,836.50x = 317,834,357,824
5. Step 5: Solve for x
   x = 317,834,357,824/261,836.50
6. Step 6: Final answer
   x = 1,213,865.74