Finding the Third Proportional to 111,784.50 and 164,112.75

Step by Step Solution

1. Step 1: Write the proportion equation
   111,784.50 : 164,112.75 = 164,112.75 : x
2. Step 2: Convert to fraction form
   111,784.50/164,112.75 = 164,112.75/x
3. Step 3: Cross multiply
   111,784.50x = 164,112.75 × 164,112.75
4. Step 4: Simplify right side
   111,784.50x = 26,932,994,712.56
5. Step 5: Solve for x
   x = 26,932,994,712.56/111,784.50
6. Step 6: Final answer
   x = 240,936.76