Finding the Third Proportional to 309,447 and 417,514.50

Step by Step Solution

1. Step 1: Write the proportion equation
   309,447 : 417,514.50 = 417,514.50 : x
2. Step 2: Convert to fraction form
   309,447/417,514.50 = 417,514.50/x
3. Step 3: Cross multiply
   309,447x = 417,514.50 × 417,514.50
4. Step 4: Simplify right side
   309,447x = 174,318,357,710.25
5. Step 5: Solve for x
   x = 174,318,357,710.25/309,447
6. Step 6: Final answer
   x = 563,322.18