Finding the Third Proportional to 111,789 and 164,119

Step by Step Solution

1. Step 1: Write the proportion equation
   111,789 : 164,119 = 164,119 : x
2. Step 2: Convert to fraction form
   111,789/164,119 = 164,119/x
3. Step 3: Cross multiply
   111,789x = 164,119 × 164,119
4. Step 4: Simplify right side
   111,789x = 26,935,046,161
5. Step 5: Solve for x
   x = 26,935,046,161/111,789
6. Step 6: Final answer
   x = 240,945.41