Finding the Third Proportional to 75,665 and 166,022.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,665 : 166,022.50 = 166,022.50 : x
2. Step 2: Convert to fraction form
   75,665/166,022.50 = 166,022.50/x
3. Step 3: Cross multiply
   75,665x = 166,022.50 × 166,022.50
4. Step 4: Simplify right side
   75,665x = 27,563,470,506.25
5. Step 5: Solve for x
   x = 27,563,470,506.25/75,665
6. Step 6: Final answer
   x = 364,282.96