Finding the Third Proportional to 338,764.50 and 508,194

Step by Step Solution

1. Step 1: Write the proportion equation
   338,764.50 : 508,194 = 508,194 : x
2. Step 2: Convert to fraction form
   338,764.50/508,194 = 508,194/x
3. Step 3: Cross multiply
   338,764.50x = 508,194 × 508,194
4. Step 4: Simplify right side
   338,764.50x = 258,261,141,636
5. Step 5: Solve for x
   x = 258,261,141,636/338,764.50
6. Step 6: Final answer
   x = 762,361.88