Finding the Third Proportional to 102,721 and 144,229.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,721 : 144,229.50 = 144,229.50 : x
2. Step 2: Convert to fraction form
   102,721/144,229.50 = 144,229.50/x
3. Step 3: Cross multiply
   102,721x = 144,229.50 × 144,229.50
4. Step 4: Simplify right side
   102,721x = 20,802,148,670.25
5. Step 5: Solve for x
   x = 20,802,148,670.25/102,721
6. Step 6: Final answer
   x = 202,511.16