Finding the Third Proportional to 89,741.25 and 195,781.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,741.25 : 195,781.50 = 195,781.50 : x
2. Step 2: Convert to fraction form
   89,741.25/195,781.50 = 195,781.50/x
3. Step 3: Cross multiply
   89,741.25x = 195,781.50 × 195,781.50
4. Step 4: Simplify right side
   89,741.25x = 38,330,395,742.25
5. Step 5: Solve for x
   x = 38,330,395,742.25/89,741.25
6. Step 6: Final answer
   x = 427,121.26