Finding the Third Proportional to 333,788 and 517,172

Step by Step Solution

1. Step 1: Write the proportion equation
   333,788 : 517,172 = 517,172 : x
2. Step 2: Convert to fraction form
   333,788/517,172 = 517,172/x
3. Step 3: Cross multiply
   333,788x = 517,172 × 517,172
4. Step 4: Simplify right side
   333,788x = 267,466,877,584
5. Step 5: Solve for x
   x = 267,466,877,584/333,788
6. Step 6: Final answer
   x = 801,307.65