Finding the Third Proportional to 52,626 and 114,006

Step by Step Solution

1. Step 1: Write the proportion equation
   52,626 : 114,006 = 114,006 : x
2. Step 2: Convert to fraction form
   52,626/114,006 = 114,006/x
3. Step 3: Cross multiply
   52,626x = 114,006 × 114,006
4. Step 4: Simplify right side
   52,626x = 12,997,368,036
5. Step 5: Solve for x
   x = 12,997,368,036/52,626
6. Step 6: Final answer
   x = 246,976.17