Finding the Third Proportional to 51,128 and 114,160

Step by Step Solution

1. Step 1: Write the proportion equation
   51,128 : 114,160 = 114,160 : x
2. Step 2: Convert to fraction form
   51,128/114,160 = 114,160/x
3. Step 3: Cross multiply
   51,128x = 114,160 × 114,160
4. Step 4: Simplify right side
   51,128x = 13,032,505,600
5. Step 5: Solve for x
   x = 13,032,505,600/51,128
6. Step 6: Final answer
   x = 254,899.58