Finding the Third Proportional to 229,869 and 345,118.50

Step by Step Solution

1. Step 1: Write the proportion equation
   229,869 : 345,118.50 = 345,118.50 : x
2. Step 2: Convert to fraction form
   229,869/345,118.50 = 345,118.50/x
3. Step 3: Cross multiply
   229,869x = 345,118.50 × 345,118.50
4. Step 4: Simplify right side
   229,869x = 119,106,779,042.25
5. Step 5: Solve for x
   x = 119,106,779,042.25/229,869
6. Step 6: Final answer
   x = 518,150.68