Finding the Third Proportional to 218,900 and 464,158

Step by Step Solution

1. Step 1: Write the proportion equation
   218,900 : 464,158 = 464,158 : x
2. Step 2: Convert to fraction form
   218,900/464,158 = 464,158/x
3. Step 3: Cross multiply
   218,900x = 464,158 × 464,158
4. Step 4: Simplify right side
   218,900x = 215,442,648,964
5. Step 5: Solve for x
   x = 215,442,648,964/218,900
6. Step 6: Final answer
   x = 984,205.80