Finding the Third Proportional to 138,105 and 209,024.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,105 : 209,024.50 = 209,024.50 : x
2. Step 2: Convert to fraction form
   138,105/209,024.50 = 209,024.50/x
3. Step 3: Cross multiply
   138,105x = 209,024.50 × 209,024.50
4. Step 4: Simplify right side
   138,105x = 43,691,241,600.25
5. Step 5: Solve for x
   x = 43,691,241,600.25/138,105
6. Step 6: Final answer
   x = 316,362.49