Finding the Third Proportional to 271,300 and 415,014

Step by Step Solution

1. Step 1: Write the proportion equation
   271,300 : 415,014 = 415,014 : x
2. Step 2: Convert to fraction form
   271,300/415,014 = 415,014/x
3. Step 3: Cross multiply
   271,300x = 415,014 × 415,014
4. Step 4: Simplify right side
   271,300x = 172,236,620,196
5. Step 5: Solve for x
   x = 172,236,620,196/271,300
6. Step 6: Final answer
   x = 634,856.69