Finding the Third Proportional to 359,290 and 563,620

Step by Step Solution

1. Step 1: Write the proportion equation
   359,290 : 563,620 = 563,620 : x
2. Step 2: Convert to fraction form
   359,290/563,620 = 563,620/x
3. Step 3: Cross multiply
   359,290x = 563,620 × 563,620
4. Step 4: Simplify right side
   359,290x = 317,667,504,400
5. Step 5: Solve for x
   x = 317,667,504,400/359,290
6. Step 6: Final answer
   x = 884,153.48