Finding the Third Proportional to 101,826 and 146,664

Step by Step Solution

1. Step 1: Write the proportion equation
   101,826 : 146,664 = 146,664 : x
2. Step 2: Convert to fraction form
   101,826/146,664 = 146,664/x
3. Step 3: Cross multiply
   101,826x = 146,664 × 146,664
4. Step 4: Simplify right side
   101,826x = 21,510,328,896
5. Step 5: Solve for x
   x = 21,510,328,896/101,826
6. Step 6: Final answer
   x = 211,245.94