Finding the Third Proportional to 381,201 and 508,198.50

Step by Step Solution

1. Step 1: Write the proportion equation
   381,201 : 508,198.50 = 508,198.50 : x
2. Step 2: Convert to fraction form
   381,201/508,198.50 = 508,198.50/x
3. Step 3: Cross multiply
   381,201x = 508,198.50 × 508,198.50
4. Step 4: Simplify right side
   381,201x = 258,265,715,402.25
5. Step 5: Solve for x
   x = 258,265,715,402.25/381,201
6. Step 6: Final answer
   x = 677,505.35