Finding the Third Proportional to 51,124 and 114,152

Step by Step Solution

1. Step 1: Write the proportion equation
   51,124 : 114,152 = 114,152 : x
2. Step 2: Convert to fraction form
   51,124/114,152 = 114,152/x
3. Step 3: Cross multiply
   51,124x = 114,152 × 114,152
4. Step 4: Simplify right side
   51,124x = 13,030,679,104
5. Step 5: Solve for x
   x = 13,030,679,104/51,124
6. Step 6: Final answer
   x = 254,883.79