Finding the Third Proportional to 271,485 and 357,003

Step by Step Solution

1. Step 1: Write the proportion equation
   271,485 : 357,003 = 357,003 : x
2. Step 2: Convert to fraction form
   271,485/357,003 = 357,003/x
3. Step 3: Cross multiply
   271,485x = 357,003 × 357,003
4. Step 4: Simplify right side
   271,485x = 127,451,142,009
5. Step 5: Solve for x
   x = 127,451,142,009/271,485
6. Step 6: Final answer
   x = 469,459.24