Finding the Third Proportional to 105,675.50 and 154,625.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,675.50 : 154,625.50 = 154,625.50 : x
2. Step 2: Convert to fraction form
   105,675.50/154,625.50 = 154,625.50/x
3. Step 3: Cross multiply
   105,675.50x = 154,625.50 × 154,625.50
4. Step 4: Simplify right side
   105,675.50x = 23,909,045,250.25
5. Step 5: Solve for x
   x = 23,909,045,250.25/105,675.50
6. Step 6: Final answer
   x = 226,249.65