Finding the Third Proportional to 339,099 and 513,022.50

Step by Step Solution

1. Step 1: Write the proportion equation
   339,099 : 513,022.50 = 513,022.50 : x
2. Step 2: Convert to fraction form
   339,099/513,022.50 = 513,022.50/x
3. Step 3: Cross multiply
   339,099x = 513,022.50 × 513,022.50
4. Step 4: Simplify right side
   339,099x = 263,192,085,506.25
5. Step 5: Solve for x
   x = 263,192,085,506.25/339,099
6. Step 6: Final answer
   x = 776,151.17