Finding the Third Proportional to 147,609 and 229,189.50

Step by Step Solution

1. Step 1: Write the proportion equation
   147,609 : 229,189.50 = 229,189.50 : x
2. Step 2: Convert to fraction form
   147,609/229,189.50 = 229,189.50/x
3. Step 3: Cross multiply
   147,609x = 229,189.50 × 229,189.50
4. Step 4: Simplify right side
   147,609x = 52,527,826,910.25
5. Step 5: Solve for x
   x = 52,527,826,910.25/147,609
6. Step 6: Final answer
   x = 355,857.89