Finding the Third Proportional to 334,272 and 503,005

Step by Step Solution

1. Step 1: Write the proportion equation
   334,272 : 503,005 = 503,005 : x
2. Step 2: Convert to fraction form
   334,272/503,005 = 503,005/x
3. Step 3: Cross multiply
   334,272x = 503,005 × 503,005
4. Step 4: Simplify right side
   334,272x = 253,014,030,025
5. Step 5: Solve for x
   x = 253,014,030,025/334,272
6. Step 6: Final answer
   x = 756,910.63