Finding the Third Proportional to 111,870 and 218,061

Step by Step Solution

1. Step 1: Write the proportion equation
   111,870 : 218,061 = 218,061 : x
2. Step 2: Convert to fraction form
   111,870/218,061 = 218,061/x
3. Step 3: Cross multiply
   111,870x = 218,061 × 218,061
4. Step 4: Simplify right side
   111,870x = 47,550,599,721
5. Step 5: Solve for x
   x = 47,550,599,721/111,870
6. Step 6: Final answer
   x = 425,052.29