Finding the Third Proportional to 105,385 and 160,753.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,385 : 160,753.50 = 160,753.50 : x
2. Step 2: Convert to fraction form
   105,385/160,753.50 = 160,753.50/x
3. Step 3: Cross multiply
   105,385x = 160,753.50 × 160,753.50
4. Step 4: Simplify right side
   105,385x = 25,841,687,762.25
5. Step 5: Solve for x
   x = 25,841,687,762.25/105,385
6. Step 6: Final answer
   x = 245,212.20