Finding the Third Proportional to 58,514 and 114,109

Step by Step Solution

1. Step 1: Write the proportion equation
   58,514 : 114,109 = 114,109 : x
2. Step 2: Convert to fraction form
   58,514/114,109 = 114,109/x
3. Step 3: Cross multiply
   58,514x = 114,109 × 114,109
4. Step 4: Simplify right side
   58,514x = 13,020,863,881
5. Step 5: Solve for x
   x = 13,020,863,881/58,514
6. Step 6: Final answer
   x = 222,525.62