Finding the Third Proportional to 51,984 and 114,084

Step by Step Solution

1. Step 1: Write the proportion equation
   51,984 : 114,084 = 114,084 : x
2. Step 2: Convert to fraction form
   51,984/114,084 = 114,084/x
3. Step 3: Cross multiply
   51,984x = 114,084 × 114,084
4. Step 4: Simplify right side
   51,984x = 13,015,159,056
5. Step 5: Solve for x
   x = 13,015,159,056/51,984
6. Step 6: Final answer
   x = 250,368.56