Finding the Third Proportional to 52,829 and 116,026

Step by Step Solution

1. Step 1: Write the proportion equation
   52,829 : 116,026 = 116,026 : x
2. Step 2: Convert to fraction form
   52,829/116,026 = 116,026/x
3. Step 3: Cross multiply
   52,829x = 116,026 × 116,026
4. Step 4: Simplify right side
   52,829x = 13,462,032,676
5. Step 5: Solve for x
   x = 13,462,032,676/52,829
6. Step 6: Final answer
   x = 254,822.78