Finding the Third Proportional to 333,784 and 517,536

Step by Step Solution

1. Step 1: Write the proportion equation
   333,784 : 517,536 = 517,536 : x
2. Step 2: Convert to fraction form
   333,784/517,536 = 517,536/x
3. Step 3: Cross multiply
   333,784x = 517,536 × 517,536
4. Step 4: Simplify right side
   333,784x = 267,843,511,296
5. Step 5: Solve for x
   x = 267,843,511,296/333,784
6. Step 6: Final answer
   x = 802,445.63