Finding the Third Proportional to 338,715 and 508,099.50

Step by Step Solution

1. Step 1: Write the proportion equation
   338,715 : 508,099.50 = 508,099.50 : x
2. Step 2: Convert to fraction form
   338,715/508,099.50 = 508,099.50/x
3. Step 3: Cross multiply
   338,715x = 508,099.50 × 508,099.50
4. Step 4: Simplify right side
   338,715x = 258,165,101,900.25
5. Step 5: Solve for x
   x = 258,165,101,900.25/338,715
6. Step 6: Final answer
   x = 762,189.75