Finding the Third Proportional to 147,614 and 229,196

Step by Step Solution

1. Step 1: Write the proportion equation
   147,614 : 229,196 = 229,196 : x
2. Step 2: Convert to fraction form
   147,614/229,196 = 229,196/x
3. Step 3: Cross multiply
   147,614x = 229,196 × 229,196
4. Step 4: Simplify right side
   147,614x = 52,530,806,416
5. Step 5: Solve for x
   x = 52,530,806,416/147,614
6. Step 6: Final answer
   x = 355,866.02