Finding the Third Proportional to 103,912 and 161,214.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,912 : 161,214.50 = 161,214.50 : x
2. Step 2: Convert to fraction form
   103,912/161,214.50 = 161,214.50/x
3. Step 3: Cross multiply
   103,912x = 161,214.50 × 161,214.50
4. Step 4: Simplify right side
   103,912x = 25,990,115,010.25
5. Step 5: Solve for x
   x = 25,990,115,010.25/103,912
6. Step 6: Final answer
   x = 250,116.59