Finding the Third Proportional to 266,590 and 563,144

Step by Step Solution

1. Step 1: Write the proportion equation
   266,590 : 563,144 = 563,144 : x
2. Step 2: Convert to fraction form
   266,590/563,144 = 563,144/x
3. Step 3: Cross multiply
   266,590x = 563,144 × 563,144
4. Step 4: Simplify right side
   266,590x = 317,131,164,736
5. Step 5: Solve for x
   x = 317,131,164,736/266,590
6. Step 6: Final answer
   x = 1,189,583.87