Finding the Third Proportional to 89,094 and 192,114

Step by Step Solution

1. Step 1: Write the proportion equation
   89,094 : 192,114 = 192,114 : x
2. Step 2: Convert to fraction form
   89,094/192,114 = 192,114/x
3. Step 3: Cross multiply
   89,094x = 192,114 × 192,114
4. Step 4: Simplify right side
   89,094x = 36,907,788,996
5. Step 5: Solve for x
   x = 36,907,788,996/89,094
6. Step 6: Final answer
   x = 414,256.73