Finding the Third Proportional to 144,747 and 186,745.50

Step by Step Solution

1. Step 1: Write the proportion equation
   144,747 : 186,745.50 = 186,745.50 : x
2. Step 2: Convert to fraction form
   144,747/186,745.50 = 186,745.50/x
3. Step 3: Cross multiply
   144,747x = 186,745.50 × 186,745.50
4. Step 4: Simplify right side
   144,747x = 34,873,881,770.25
5. Step 5: Solve for x
   x = 34,873,881,770.25/144,747
6. Step 6: Final answer
   x = 240,929.91