Finding the Third Proportional to 76,007.50 and 166,608.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,007.50 : 166,608.50 = 166,608.50 : x
2. Step 2: Convert to fraction form
   76,007.50/166,608.50 = 166,608.50/x
3. Step 3: Cross multiply
   76,007.50x = 166,608.50 × 166,608.50
4. Step 4: Simplify right side
   76,007.50x = 27,758,392,272.25
5. Step 5: Solve for x
   x = 27,758,392,272.25/76,007.50
6. Step 6: Final answer
   x = 365,205.96