Finding the Third Proportional to 215,034 and 424,770

Step by Step Solution

1. Step 1: Write the proportion equation
   215,034 : 424,770 = 424,770 : x
2. Step 2: Convert to fraction form
   215,034/424,770 = 424,770/x
3. Step 3: Cross multiply
   215,034x = 424,770 × 424,770
4. Step 4: Simplify right side
   215,034x = 180,429,552,900
5. Step 5: Solve for x
   x = 180,429,552,900/215,034
6. Step 6: Final answer
   x = 839,074.53