Finding the Third Proportional to 109,750 and 166,155

Step by Step Solution

1. Step 1: Write the proportion equation
   109,750 : 166,155 = 166,155 : x
2. Step 2: Convert to fraction form
   109,750/166,155 = 166,155/x
3. Step 3: Cross multiply
   109,750x = 166,155 × 166,155
4. Step 4: Simplify right side
   109,750x = 27,607,484,025
5. Step 5: Solve for x
   x = 27,607,484,025/109,750
6. Step 6: Final answer
   x = 251,548.83