Finding the Third Proportional to 89,076 and 192,696

Step by Step Solution

1. Step 1: Write the proportion equation
   89,076 : 192,696 = 192,696 : x
2. Step 2: Convert to fraction form
   89,076/192,696 = 192,696/x
3. Step 3: Cross multiply
   89,076x = 192,696 × 192,696
4. Step 4: Simplify right side
   89,076x = 37,131,748,416
5. Step 5: Solve for x
   x = 37,131,748,416/89,076
6. Step 6: Final answer
   x = 416,854.69