Finding the Third Proportional to 52,826 and 116,020

Step by Step Solution

1. Step 1: Write the proportion equation
   52,826 : 116,020 = 116,020 : x
2. Step 2: Convert to fraction form
   52,826/116,020 = 116,020/x
3. Step 3: Cross multiply
   52,826x = 116,020 × 116,020
4. Step 4: Simplify right side
   52,826x = 13,460,640,400
5. Step 5: Solve for x
   x = 13,460,640,400/52,826
6. Step 6: Final answer
   x = 254,810.90