Finding the Third Proportional to 333,963 and 516,496.50

Step by Step Solution

1. Step 1: Write the proportion equation
   333,963 : 516,496.50 = 516,496.50 : x
2. Step 2: Convert to fraction form
   333,963/516,496.50 = 516,496.50/x
3. Step 3: Cross multiply
   333,963x = 516,496.50 × 516,496.50
4. Step 4: Simplify right side
   333,963x = 266,768,634,512.25
5. Step 5: Solve for x
   x = 266,768,634,512.25/333,963
6. Step 6: Final answer
   x = 798,796.98