Finding the Third Proportional to 95,304 and 209,280

Step by Step Solution

1. Step 1: Write the proportion equation
   95,304 : 209,280 = 209,280 : x
2. Step 2: Convert to fraction form
   95,304/209,280 = 209,280/x
3. Step 3: Cross multiply
   95,304x = 209,280 × 209,280
4. Step 4: Simplify right side
   95,304x = 43,798,118,400
5. Step 5: Solve for x
   x = 43,798,118,400/95,304
6. Step 6: Final answer
   x = 459,562.23