Finding the Third Proportional to 75,952.69 and 166,485.38

Step by Step Solution

1. Step 1: Write the proportion equation
   75,952.69 : 166,485.38 = 166,485.38 : x
2. Step 2: Convert to fraction form
   75,952.69/166,485.38 = 166,485.38/x
3. Step 3: Cross multiply
   75,952.69x = 166,485.38 × 166,485.38
4. Step 4: Simplify right side
   75,952.69x = 27,717,380,088.89
5. Step 5: Solve for x
   x = 27,717,380,088.89/75,952.69
6. Step 6: Final answer
   x = 364,929.55