Finding the Third Proportional to 52,830 and 116,028

Step by Step Solution

1. Step 1: Write the proportion equation
   52,830 : 116,028 = 116,028 : x
2. Step 2: Convert to fraction form
   52,830/116,028 = 116,028/x
3. Step 3: Cross multiply
   52,830x = 116,028 × 116,028
4. Step 4: Simplify right side
   52,830x = 13,462,496,784
5. Step 5: Solve for x
   x = 13,462,496,784/52,830
6. Step 6: Final answer
   x = 254,826.74