Finding the Third Proportional to 333,903 and 517,345.50

Step by Step Solution

1. Step 1: Write the proportion equation
   333,903 : 517,345.50 = 517,345.50 : x
2. Step 2: Convert to fraction form
   333,903/517,345.50 = 517,345.50/x
3. Step 3: Cross multiply
   333,903x = 517,345.50 × 517,345.50
4. Step 4: Simplify right side
   333,903x = 267,646,366,370.25
5. Step 5: Solve for x
   x = 267,646,366,370.25/333,903
6. Step 6: Final answer
   x = 801,569.22