Finding the Third Proportional to 105,007.50 and 137,828.25

Step by Step Solution

1. Step 1: Write the proportion equation
   105,007.50 : 137,828.25 = 137,828.25 : x
2. Step 2: Convert to fraction form
   105,007.50/137,828.25 = 137,828.25/x
3. Step 3: Cross multiply
   105,007.50x = 137,828.25 × 137,828.25
4. Step 4: Simplify right side
   105,007.50x = 18,996,626,498.06
5. Step 5: Solve for x
   x = 18,996,626,498.06/105,007.50
6. Step 6: Final answer
   x = 180,907.33