Finding the Third Proportional to 58,524 and 114,128

Step by Step Solution

1. Step 1: Write the proportion equation
   58,524 : 114,128 = 114,128 : x
2. Step 2: Convert to fraction form
   58,524/114,128 = 114,128/x
3. Step 3: Cross multiply
   58,524x = 114,128 × 114,128
4. Step 4: Simplify right side
   58,524x = 13,025,200,384
5. Step 5: Solve for x
   x = 13,025,200,384/58,524
6. Step 6: Final answer
   x = 222,561.69