Finding the Third Proportional to 109,250 and 166,791

Step by Step Solution

1. Step 1: Write the proportion equation
   109,250 : 166,791 = 166,791 : x
2. Step 2: Convert to fraction form
   109,250/166,791 = 166,791/x
3. Step 3: Cross multiply
   109,250x = 166,791 × 166,791
4. Step 4: Simplify right side
   109,250x = 27,819,237,681
5. Step 5: Solve for x
   x = 27,819,237,681/109,250
6. Step 6: Final answer
   x = 254,638.33