Finding the Third Proportional to 103,916 and 161,220.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,916 : 161,220.50 = 161,220.50 : x
2. Step 2: Convert to fraction form
   103,916/161,220.50 = 161,220.50/x
3. Step 3: Cross multiply
   103,916x = 161,220.50 × 161,220.50
4. Step 4: Simplify right side
   103,916x = 25,992,049,620.25
5. Step 5: Solve for x
   x = 25,992,049,620.25/103,916
6. Step 6: Final answer
   x = 250,125.58