Finding the Third Proportional to 333,777.38 and 517,158

Step by Step Solution

1. Step 1: Write the proportion equation
   333,777.38 : 517,158 = 517,158 : x
2. Step 2: Convert to fraction form
   333,777.38/517,158 = 517,158/x
3. Step 3: Cross multiply
   333,777.38x = 517,158 × 517,158
4. Step 4: Simplify right side
   333,777.38x = 267,452,396,964
5. Step 5: Solve for x
   x = 267,452,396,964/333,777.38
6. Step 6: Final answer
   x = 801,289.77