Finding the Third Proportional to 89,142 and 195,781

Step by Step Solution

1. Step 1: Write the proportion equation
   89,142 : 195,781 = 195,781 : x
2. Step 2: Convert to fraction form
   89,142/195,781 = 195,781/x
3. Step 3: Cross multiply
   89,142x = 195,781 × 195,781
4. Step 4: Simplify right side
   89,142x = 38,330,199,961
5. Step 5: Solve for x
   x = 38,330,199,961/89,142
6. Step 6: Final answer
   x = 429,990.35