Finding the Third Proportional to 103,519 and 145,738.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,519 : 145,738.50 = 145,738.50 : x
2. Step 2: Convert to fraction form
   103,519/145,738.50 = 145,738.50/x
3. Step 3: Cross multiply
   103,519x = 145,738.50 × 145,738.50
4. Step 4: Simplify right side
   103,519x = 21,239,710,382.25
5. Step 5: Solve for x
   x = 21,239,710,382.25/103,519
6. Step 6: Final answer
   x = 205,176.93