Finding the Third Proportional to 89,888 and 195,696

Step by Step Solution

1. Step 1: Write the proportion equation
   89,888 : 195,696 = 195,696 : x
2. Step 2: Convert to fraction form
   89,888/195,696 = 195,696/x
3. Step 3: Cross multiply
   89,888x = 195,696 × 195,696
4. Step 4: Simplify right side
   89,888x = 38,296,924,416
5. Step 5: Solve for x
   x = 38,296,924,416/89,888
6. Step 6: Final answer
   x = 426,051.58