Finding the Third Proportional to 229,563 and 336,784.50

Step by Step Solution

1. Step 1: Write the proportion equation
   229,563 : 336,784.50 = 336,784.50 : x
2. Step 2: Convert to fraction form
   229,563/336,784.50 = 336,784.50/x
3. Step 3: Cross multiply
   229,563x = 336,784.50 × 336,784.50
4. Step 4: Simplify right side
   229,563x = 113,423,799,440.25
5. Step 5: Solve for x
   x = 113,423,799,440.25/229,563
6. Step 6: Final answer
   x = 494,085.72