Finding the Third Proportional to 431,266.50 and 617,541

Step by Step Solution

1. Step 1: Write the proportion equation
   431,266.50 : 617,541 = 617,541 : x
2. Step 2: Convert to fraction form
   431,266.50/617,541 = 617,541/x
3. Step 3: Cross multiply
   431,266.50x = 617,541 × 617,541
4. Step 4: Simplify right side
   431,266.50x = 381,356,886,681
5. Step 5: Solve for x
   x = 381,356,886,681/431,266.50
6. Step 6: Final answer
   x = 884,271.99