Finding the Third Proportional to 229,869 and 369,103.50

Step by Step Solution

1. Step 1: Write the proportion equation
   229,869 : 369,103.50 = 369,103.50 : x
2. Step 2: Convert to fraction form
   229,869/369,103.50 = 369,103.50/x
3. Step 3: Cross multiply
   229,869x = 369,103.50 × 369,103.50
4. Step 4: Simplify right side
   229,869x = 136,237,393,712.25
5. Step 5: Solve for x
   x = 136,237,393,712.25/229,869
6. Step 6: Final answer
   x = 592,674.06