Finding the Third Proportional to 147,605 and 229,184

Step by Step Solution

1. Step 1: Write the proportion equation
   147,605 : 229,184 = 229,184 : x
2. Step 2: Convert to fraction form
   147,605/229,184 = 229,184/x
3. Step 3: Cross multiply
   147,605x = 229,184 × 229,184
4. Step 4: Simplify right side
   147,605x = 52,525,305,856
5. Step 5: Solve for x
   x = 52,525,305,856/147,605
6. Step 6: Final answer
   x = 355,850.45