Finding the Third Proportional to 166,892 and 362,098

Step by Step Solution

1. Step 1: Write the proportion equation
   166,892 : 362,098 = 362,098 : x
2. Step 2: Convert to fraction form
   166,892/362,098 = 362,098/x
3. Step 3: Cross multiply
   166,892x = 362,098 × 362,098
4. Step 4: Simplify right side
   166,892x = 131,114,961,604
5. Step 5: Solve for x
   x = 131,114,961,604/166,892
6. Step 6: Final answer
   x = 785,627.60