Finding the Third Proportional to 105,085.50 and 161,526

Step by Step Solution

1. Step 1: Write the proportion equation
   105,085.50 : 161,526 = 161,526 : x
2. Step 2: Convert to fraction form
   105,085.50/161,526 = 161,526/x
3. Step 3: Cross multiply
   105,085.50x = 161,526 × 161,526
4. Step 4: Simplify right side
   105,085.50x = 26,090,648,676
5. Step 5: Solve for x
   x = 26,090,648,676/105,085.50
6. Step 6: Final answer
   x = 248,280.20