Finding the Third Proportional to 102,753 and 161,230.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,753 : 161,230.50 = 161,230.50 : x
2. Step 2: Convert to fraction form
   102,753/161,230.50 = 161,230.50/x
3. Step 3: Cross multiply
   102,753x = 161,230.50 × 161,230.50
4. Step 4: Simplify right side
   102,753x = 25,995,274,130.25
5. Step 5: Solve for x
   x = 25,995,274,130.25/102,753
6. Step 6: Final answer
   x = 252,987.98