Finding the Third Proportional to 101,983 and 146,886

Step by Step Solution

1. Step 1: Write the proportion equation
   101,983 : 146,886 = 146,886 : x
2. Step 2: Convert to fraction form
   101,983/146,886 = 146,886/x
3. Step 3: Cross multiply
   101,983x = 146,886 × 146,886
4. Step 4: Simplify right side
   101,983x = 21,575,496,996
5. Step 5: Solve for x
   x = 21,575,496,996/101,983
6. Step 6: Final answer
   x = 211,559.74