Finding the Third Proportional to 89,143.50 and 195,781.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,143.50 : 195,781.50 = 195,781.50 : x
2. Step 2: Convert to fraction form
   89,143.50/195,781.50 = 195,781.50/x
3. Step 3: Cross multiply
   89,143.50x = 195,781.50 × 195,781.50
4. Step 4: Simplify right side
   89,143.50x = 38,330,395,742.25
5. Step 5: Solve for x
   x = 38,330,395,742.25/89,143.50
6. Step 6: Final answer
   x = 429,985.31