Finding the Third Proportional to 356,848 and 521,033

Step by Step Solution

1. Step 1: Write the proportion equation
   356,848 : 521,033 = 521,033 : x
2. Step 2: Convert to fraction form
   356,848/521,033 = 521,033/x
3. Step 3: Cross multiply
   356,848x = 521,033 × 521,033
4. Step 4: Simplify right side
   356,848x = 271,475,387,089
5. Step 5: Solve for x
   x = 271,475,387,089/356,848
6. Step 6: Final answer
   x = 760,759.17