Finding the Third Proportional to 333,256 and 516,164

Step by Step Solution

1. Step 1: Write the proportion equation
   333,256 : 516,164 = 516,164 : x
2. Step 2: Convert to fraction form
   333,256/516,164 = 516,164/x
3. Step 3: Cross multiply
   333,256x = 516,164 × 516,164
4. Step 4: Simplify right side
   333,256x = 266,425,274,896
5. Step 5: Solve for x
   x = 266,425,274,896/333,256
6. Step 6: Final answer
   x = 799,461.30