Finding the Third Proportional to 229,510 and 379,280

Step by Step Solution

1. Step 1: Write the proportion equation
   229,510 : 379,280 = 379,280 : x
2. Step 2: Convert to fraction form
   229,510/379,280 = 379,280/x
3. Step 3: Cross multiply
   229,510x = 379,280 × 379,280
4. Step 4: Simplify right side
   229,510x = 143,853,318,400
5. Step 5: Solve for x
   x = 143,853,318,400/229,510
6. Step 6: Final answer
   x = 626,784.53