Finding the Third Proportional to 258,784 and 563,131

Step by Step Solution

1. Step 1: Write the proportion equation
   258,784 : 563,131 = 563,131 : x
2. Step 2: Convert to fraction form
   258,784/563,131 = 563,131/x
3. Step 3: Cross multiply
   258,784x = 563,131 × 563,131
4. Step 4: Simplify right side
   258,784x = 317,116,523,161
5. Step 5: Solve for x
   x = 317,116,523,161/258,784
6. Step 6: Final answer
   x = 1,225,410.08