Finding the Third Proportional to 101,986 and 146,890

Step by Step Solution

1. Step 1: Write the proportion equation
   101,986 : 146,890 = 146,890 : x
2. Step 2: Convert to fraction form
   101,986/146,890 = 146,890/x
3. Step 3: Cross multiply
   101,986x = 146,890 × 146,890
4. Step 4: Simplify right side
   101,986x = 21,576,672,100
5. Step 5: Solve for x
   x = 21,576,672,100/101,986
6. Step 6: Final answer
   x = 211,565.04