Finding the Third Proportional to 309,456 and 417,528

Step by Step Solution

1. Step 1: Write the proportion equation
   309,456 : 417,528 = 417,528 : x
2. Step 2: Convert to fraction form
   309,456/417,528 = 417,528/x
3. Step 3: Cross multiply
   309,456x = 417,528 × 417,528
4. Step 4: Simplify right side
   309,456x = 174,329,630,784
5. Step 5: Solve for x
   x = 174,329,630,784/309,456
6. Step 6: Final answer
   x = 563,342.22