Finding the Third Proportional to 229,755 and 343,255.50

Step by Step Solution

1. Step 1: Write the proportion equation
   229,755 : 343,255.50 = 343,255.50 : x
2. Step 2: Convert to fraction form
   229,755/343,255.50 = 343,255.50/x
3. Step 3: Cross multiply
   229,755x = 343,255.50 × 343,255.50
4. Step 4: Simplify right side
   229,755x = 117,824,338,280.25
5. Step 5: Solve for x
   x = 117,824,338,280.25/229,755
6. Step 6: Final answer
   x = 512,826.00