Finding the Third Proportional to 111,746 and 151,851

Step by Step Solution

1. Step 1: Write the proportion equation
   111,746 : 151,851 = 151,851 : x
2. Step 2: Convert to fraction form
   111,746/151,851 = 151,851/x
3. Step 3: Cross multiply
   111,746x = 151,851 × 151,851
4. Step 4: Simplify right side
   111,746x = 23,058,726,201
5. Step 5: Solve for x
   x = 23,058,726,201/111,746
6. Step 6: Final answer
   x = 206,349.46