Finding the Third Proportional to 114,820 and 217,064

Step by Step Solution

1. Step 1: Write the proportion equation
   114,820 : 217,064 = 217,064 : x
2. Step 2: Convert to fraction form
   114,820/217,064 = 217,064/x
3. Step 3: Cross multiply
   114,820x = 217,064 × 217,064
4. Step 4: Simplify right side
   114,820x = 47,116,780,096
5. Step 5: Solve for x
   x = 47,116,780,096/114,820
6. Step 6: Final answer
   x = 410,353.42