Finding the Third Proportional to 51,084 and 108,310

Step by Step Solution

1. Step 1: Write the proportion equation
   51,084 : 108,310 = 108,310 : x
2. Step 2: Convert to fraction form
   51,084/108,310 = 108,310/x
3. Step 3: Cross multiply
   51,084x = 108,310 × 108,310
4. Step 4: Simplify right side
   51,084x = 11,731,056,100
5. Step 5: Solve for x
   x = 11,731,056,100/51,084
6. Step 6: Final answer
   x = 229,642.47