Finding the Third Proportional to 147,606 and 229,185

Step by Step Solution

1. Step 1: Write the proportion equation
   147,606 : 229,185 = 229,185 : x
2. Step 2: Convert to fraction form
   147,606/229,185 = 229,185/x
3. Step 3: Cross multiply
   147,606x = 229,185 × 229,185
4. Step 4: Simplify right side
   147,606x = 52,525,764,225
5. Step 5: Solve for x
   x = 52,525,764,225/147,606
6. Step 6: Final answer
   x = 355,851.15