Finding the Third Proportional to 102,633 and 144,013.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,633 : 144,013.50 = 144,013.50 : x
2. Step 2: Convert to fraction form
   102,633/144,013.50 = 144,013.50/x
3. Step 3: Cross multiply
   102,633x = 144,013.50 × 144,013.50
4. Step 4: Simplify right side
   102,633x = 20,739,888,182.25
5. Step 5: Solve for x
   x = 20,739,888,182.25/102,633
6. Step 6: Final answer
   x = 202,078.16