Finding the Third Proportional to 229,803 and 343,327.50

Step by Step Solution

1. Step 1: Write the proportion equation
   229,803 : 343,327.50 = 343,327.50 : x
2. Step 2: Convert to fraction form
   229,803/343,327.50 = 343,327.50/x
3. Step 3: Cross multiply
   229,803x = 343,327.50 × 343,327.50
4. Step 4: Simplify right side
   229,803x = 117,873,772,256.25
5. Step 5: Solve for x
   x = 117,873,772,256.25/229,803
6. Step 6: Final answer
   x = 512,934.00