Finding the Third Proportional to 101,908 and 146,788

Step by Step Solution

1. Step 1: Write the proportion equation
   101,908 : 146,788 = 146,788 : x
2. Step 2: Convert to fraction form
   101,908/146,788 = 146,788/x
3. Step 3: Cross multiply
   101,908x = 146,788 × 146,788
4. Step 4: Simplify right side
   101,908x = 21,546,716,944
5. Step 5: Solve for x
   x = 21,546,716,944/101,908
6. Step 6: Final answer
   x = 211,433.03