Finding the Third Proportional to 147,792 and 229,308

Step by Step Solution

1. Step 1: Write the proportion equation
   147,792 : 229,308 = 229,308 : x
2. Step 2: Convert to fraction form
   147,792/229,308 = 229,308/x
3. Step 3: Cross multiply
   147,792x = 229,308 × 229,308
4. Step 4: Simplify right side
   147,792x = 52,582,158,864
5. Step 5: Solve for x
   x = 52,582,158,864/147,792
6. Step 6: Final answer
   x = 355,784.88