Finding the Third Proportional to 147,696 and 229,131

Step by Step Solution

1. Step 1: Write the proportion equation
   147,696 : 229,131 = 229,131 : x
2. Step 2: Convert to fraction form
   147,696/229,131 = 229,131/x
3. Step 3: Cross multiply
   147,696x = 229,131 × 229,131
4. Step 4: Simplify right side
   147,696x = 52,501,015,161
5. Step 5: Solve for x
   x = 52,501,015,161/147,696
6. Step 6: Final answer
   x = 355,466.74