Finding the Third Proportional to 309,453 and 417,523.50

Step by Step Solution

1. Step 1: Write the proportion equation
   309,453 : 417,523.50 = 417,523.50 : x
2. Step 2: Convert to fraction form
   309,453/417,523.50 = 417,523.50/x
3. Step 3: Cross multiply
   309,453x = 417,523.50 × 417,523.50
4. Step 4: Simplify right side
   309,453x = 174,325,873,052.25
5. Step 5: Solve for x
   x = 174,325,873,052.25/309,453
6. Step 6: Final answer
   x = 563,335.54