Finding the Third Proportional to 111,864 and 218,058

Step by Step Solution

1. Step 1: Write the proportion equation
   111,864 : 218,058 = 218,058 : x
2. Step 2: Convert to fraction form
   111,864/218,058 = 218,058/x
3. Step 3: Cross multiply
   111,864x = 218,058 × 218,058
4. Step 4: Simplify right side
   111,864x = 47,549,291,364
5. Step 5: Solve for x
   x = 47,549,291,364/111,864
6. Step 6: Final answer
   x = 425,063.39