Finding the Third Proportional to 166,164 and 362,402

Step by Step Solution

1. Step 1: Write the proportion equation
   166,164 : 362,402 = 362,402 : x
2. Step 2: Convert to fraction form
   166,164/362,402 = 362,402/x
3. Step 3: Cross multiply
   166,164x = 362,402 × 362,402
4. Step 4: Simplify right side
   166,164x = 131,335,209,604
5. Step 5: Solve for x
   x = 131,335,209,604/166,164
6. Step 6: Final answer
   x = 790,395.09