Finding the Third Proportional to 111,880 and 218,092

Step by Step Solution

1. Step 1: Write the proportion equation
   111,880 : 218,092 = 218,092 : x
2. Step 2: Convert to fraction form
   111,880/218,092 = 218,092/x
3. Step 3: Cross multiply
   111,880x = 218,092 × 218,092
4. Step 4: Simplify right side
   111,880x = 47,564,120,464
5. Step 5: Solve for x
   x = 47,564,120,464/111,880
6. Step 6: Final answer
   x = 425,135.15