Finding the Third Proportional to 138,123 and 305,284.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,123 : 305,284.50 = 305,284.50 : x
2. Step 2: Convert to fraction form
   138,123/305,284.50 = 305,284.50/x
3. Step 3: Cross multiply
   138,123x = 305,284.50 × 305,284.50
4. Step 4: Simplify right side
   138,123x = 93,198,625,940.25
5. Step 5: Solve for x
   x = 93,198,625,940.25/138,123
6. Step 6: Final answer
   x = 674,750.95