Finding the Third Proportional to 105,321.38 and 161,501.63

Step by Step Solution

1. Step 1: Write the proportion equation
   105,321.38 : 161,501.63 = 161,501.63 : x
2. Step 2: Convert to fraction form
   105,321.38/161,501.63 = 161,501.63/x
3. Step 3: Cross multiply
   105,321.38x = 161,501.63 × 161,501.63
4. Step 4: Simplify right side
   105,321.38x = 26,082,774,877.64
5. Step 5: Solve for x
   x = 26,082,774,877.64/105,321.38
6. Step 6: Final answer
   x = 247,649.40