Finding the Third Proportional to 105,084 and 164,184.75

Step by Step Solution

1. Step 1: Write the proportion equation
   105,084 : 164,184.75 = 164,184.75 : x
2. Step 2: Convert to fraction form
   105,084/164,184.75 = 164,184.75/x
3. Step 3: Cross multiply
   105,084x = 164,184.75 × 164,184.75
4. Step 4: Simplify right side
   105,084x = 26,956,632,132.56
5. Step 5: Solve for x
   x = 26,956,632,132.56/105,084
6. Step 6: Final answer
   x = 256,524.61