Finding the Third Proportional to 138,016.50 and 209,095.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,016.50 : 209,095.50 = 209,095.50 : x
2. Step 2: Convert to fraction form
   138,016.50/209,095.50 = 209,095.50/x
3. Step 3: Cross multiply
   138,016.50x = 209,095.50 × 209,095.50
4. Step 4: Simplify right side
   138,016.50x = 43,720,928,120.25
5. Step 5: Solve for x
   x = 43,720,928,120.25/138,016.50
6. Step 6: Final answer
   x = 316,780.44