Finding the Third Proportional to 269,280 and 418,140

Step by Step Solution

1. Step 1: Write the proportion equation
   269,280 : 418,140 = 418,140 : x
2. Step 2: Convert to fraction form
   269,280/418,140 = 418,140/x
3. Step 3: Cross multiply
   269,280x = 418,140 × 418,140
4. Step 4: Simplify right side
   269,280x = 174,841,059,600
5. Step 5: Solve for x
   x = 174,841,059,600/269,280
6. Step 6: Final answer
   x = 649,290.92